MAYBE Problem: i(i(realu_div(),i(realu_abs(),i(i(realu_add(),i(i(realu_mul(),i(i(realu_sub(), i( i(d_(),b), i (NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(i( realu_sub(), i ( i(d_(),c), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(realu_sub(),i( i(d_(),d), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(i(d_(),a),i(NUMERAL(), i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_add(),i(i(realu_mul(),i(i( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(realu_mul(),i( i ( realu_sub(), i ( i(d_(),c), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))), i(i(realu_sub(), i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))), i(i(realu_sub(),i(i(realu_sub(),i( i ( realu_sub(), i ( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))), i ( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),c), i (NUMERAL(),i(BIT1(),u_0())))), i ( i(d_(),a), i (NUMERAL(),i(BIT1(),u_0()))))), i ( i ( realu_sub(), i ( i(d_(),d), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))))), i ( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i (NUMERAL(),i(BIT1(),u_0())))), i ( i(d_(),a), i (NUMERAL(),i(BIT1(),u_0()))))), i ( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),c), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))), i ( i ( realu_sub(), i ( i(d_(),d), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))), i(i(realu_mul(), i(i(realu_sub(), i(i(d_(),b), i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),a), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_mul(), i(i(realu_sub(), i(i(d_(),c), i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_sub(), i(i(d_(),d), i(NUMERAL(), i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),a), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))))), i(i(realu_mul(),i(i(realu_sub(), i(i(d_(),b), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),a),i( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(i(realu_sub(), i(i(d_(),c), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),a), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c), i (i(INSERT(),d),EMPTY())))))) i(i(realu_add(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))),i(i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))))), i(i(realu_add(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0())))))),i(i(realu_sub(), i(i(realu_sub(), i(i ( realu_sub(), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i (NUMERAL(),i(BIT1(),u_0())))), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i (NUMERAL(),i(BIT1(),u_0())))), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))))), i(i(realu_mul(), i ( i ( d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i (NUMERAL(),i(BIT1(),u_0())))), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(), i(i(d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(i(realu_mul(), i(i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0())))))))) -> i(det(),A) i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))),i( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i ( realu_neg(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i (NUMERAL(),i(BIT1(),u_0()))))))), i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))),i(realu_neg(), i(i(d_(), i(i(d_(),A), i(NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(orthogonalu_matrix(),A) i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i ( a_(), i ( i ( realu_add(), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i (NUMERAL(),i(BIT1(),u_0())))), i ( i ( d_(), i ( i(d_(),A), i (NUMERAL(),i(BIT1(),u_0())))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( i ( realu_mul(), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i (NUMERAL(),i(BIT1(),u_0())))), i ( i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i ( realu_ofu_num(), i (NUMERAL(),u_0()))))) -> i(orthogonalu_matrix(),A) i(vector(),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a),i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))), i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))))), NIL())))) -> i(i(cross(),a),b) i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i ( i(d_(),a), i (NUMERAL(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(volu_rect(),a),b) i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_mul(), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0())))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(realu_neg(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(rotationu_matrix(),A) i(i(s_b_(),i(i(realu_le(),i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(), i ( i ( realu_le(), i ( realu_abs(), i ( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i ( b_s_(), i ( i ( a_(), i ( i(d_(),x), i (NUMERAL(),i(BIT1(),u_0())))), i ( realu_neg(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))))), i ( i ( b_s_(), i ( i ( a_(), i ( i(d_(),x), i (NUMERAL(),i(BIT1(),u_0())))), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i ( i ( b_s_(), i ( i ( a_(), i ( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( realu_neg(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))))), i ( i ( a_(), i ( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))))))) -> i(i(a_(),i(infnorm(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(realu_add(),i(i(realu_mul(),x1),i(i(realu_mul(),x4),i(i(realu_add(),i(realu_neg(),x1)), i(i(realu_add(),x2), i(i(realu_add(), i(i(realu_sub(),x3),x4)), i(i(realu_add(),x5),x6))))))), i(i(realu_add(),i(i(realu_mul(),x2),i(i(realu_mul(),x5),i(i(realu_add(),i(i(realu_sub(),x1),x2)), i(i(realu_add(),x3), i(i(realu_add(), i(i(realu_sub(),x4),x5)), x6)))))), i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(), i(i(realu_mul(),x3), i(i(realu_mul(),x6), i(i(realu_add(),x1), i(i(realu_add(), i(i(realu_sub(),x2),x3)), i(i(realu_add(),x4), i(i(realu_sub(),x5),x6))))))), i(i(realu_mul(),x2),i(i(realu_mul(),x3),x4)))), i(i(realu_mul(),x1),i(i(realu_mul(),x3),x5)))), i(i(realu_mul(),x1),i(i(realu_mul(),x2),x6)))), i(i(realu_mul(),x4),i(i(realu_mul(),x5),x6))))) -> i(i(i(i(i(i(deltau_x(),x1),x2),x3),x4),x5),x6) i(i(i(COND(),i(i(a_(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),z))), i(complex(),i(i(c_(),i(sqrt(),i(Re(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(complex(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i( sqrt(), i(realu_neg(),i(Re(),z))))))), i(complex(),i(i(c_(),i(sqrt(),i(i(realu_div(),i(i(realu_add(),i(vectoru_norm(),z)),i(Re(),z))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_div(),i(Im(),z)),i(realu_abs(),i(Im(),z)))), i(sqrt(),i(i(realu_div(),i(i(realu_sub(),i(vectoru_norm(),z)),i(Re(),z))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))))) -> i(csqrt(),z) i(i(realu_div(),i(sqrt(),i(i(i(i(i(i(deltau_x(),i(i(realu_pow(),i(distance(),i(i(c_(),x1),x2))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),x1),x3))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),x1),x4))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),x3),x4))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),x2),x4))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),x2),x3))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),x1),i(i(INSERT(),x2),i ( i(INSERT(),x3), i (i(INSERT(),x4),EMPTY())))))) i(i(s_b_(),i(i(differentiable(),f),i(at(),z))),i(i(s_b_(),i(i(a_(),i ( i ( d_(), i ( i ( d_(), i (i(jacobian(),f),i(at(),z))), i (NUMERAL(),i(BIT1(),u_0())))), i (NUMERAL(),i(BIT1(),u_0())))), i(i(d_(), i(i( d_(), i (i(jacobian(),f),i(at(),z))), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), i(i(a_(),i(i(d_(),i ( i ( d_(), i (i(jacobian(),f),i(at(),z))), i (NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(realu_neg(),i(i ( d_(), i ( i ( d_(), i (i(jacobian(),f),i(at(),z))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i (NUMERAL(),i(BIT1(),u_0()))))))) -> i(i(complexu_differentiable(),f),i(at(),z)) i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e1)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(a_(),i(i(dot(),e2),e2)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(a_(),i(i(dot(),e3),e3)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e2)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e3)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(s_b_(),i(i(a_(),i(i(dot(),e2),e3)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i( i(dot(),i(i(cross(),e1),e2)), e3)))))))) -> i(i(i(orthonormal(),e1),e2),e3) i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y1),i( i(CONS(),x2), i (i(CONS(),x3),NIL())))))), i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),y2),i(i(CONS(),y3),NIL()))))))), i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y2), i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))), i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x1),i(i(CONS(),y3),NIL()))))))), i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y3),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))), i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),i(i(CONS(),x1),NIL())))))))) -> i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))), i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),i(i(CONS(),y3),NIL())))))) i(i(realu_div(),i(realu_abs(),i(i(realu_sub(),i(i(realu_mul(),i(i(realu_sub(), i( i(d_(),b), i (NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_sub(),i(i(d_(),c), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(),a),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(),a),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i( i ( realu_sub(), i ( i(d_(),b), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),a), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(a_(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),z),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_sub(),i(i(d_(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))),i(i( realu_sub(), i ( i(d_(),z), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))) -> i(collinear(),i(i(INSERT(),x),i(i(INSERT(),y),i(i(INSERT(),z),EMPTY())))) i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT1(),u_0())))),i(i ( d_(), i ( i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(), i(i(d_(),A), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(NUMERAL(),i(BIT1(),u_0()))))) -> i(det(),A) i(i(realu_sub(),i(i(realu_add(),i(i(realu_pow(),i(distance(),i(i(c_(),A),B))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),A),C))),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(distance(),i(i(c_(),A),B))),i(i(realu_mul(),i(distance(),i(i(c_(),A),C))), i(cos(),i(angle(),i(i(c_(),B),i(i(c_(),A),C)))))))) -> i(i(realu_pow(),i(distance(),i(i(c_(),B),C))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(vector(),i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),u),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(d_(),u),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))), i(i(d_(),u),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))), NIL())))) -> i(i(scale(),t),u) i(vector(),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))), i(cos(),t))),i(i(realu_mul(), i(i(d_(),x), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(sin(),t)))), i(i(CONS(),i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))), i(sin(),t))),i(i(realu_mul(), i(i(d_(),x), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(cos(),t)))), NIL()))) -> i(i(rotate2d(),t),x) i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))), i(sqrt(),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(i(realu_pow(),i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),a),b)), i(i(vectoru_sub(),c),b))), i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),a),b))), i(vectoru_norm(),i(i(vectoru_sub(),c),b))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(sin(),i(angle(),i(i(c_(),a),i(i(c_(),b),c)))) i(complex(),i(i(c_(),i(i(realu_div(),i(Re(),z)),i(i(realu_add(),i(i(realu_pow(),i(Re(),z)), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(realu_div(),i(realu_neg(),i(Im(),z))),i(i(realu_add(), i(i(realu_pow(),i(Re(),z)), i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(complexu_inv(),z) i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(), i( i ( realu_mul(), i ( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i ( i(d_(),y), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i( realu_mul(), i ( i(d_(),x), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i( i(d_(),y), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))))) -> i(i(dot(),x),y) i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))), i(i(b_s_(),i(i(a_(),i(distance(),i(i(c_(),A),B))), i(i(realu_add(),i(distance(),i(i(c_(),A),C))), i(distance(),i(i(c_(),C),B))))), i(i(a_(),i(distance(),i(i(c_(),B),C))), i(i(realu_add(),i(distance(),i(i(c_(),A),C))), i(distance(),i(i(c_(),A),B))))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))), i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i ( i ( realu_pow(), i ( i ( realu_div(), i ( i ( dot(),i(i(vectoru_sub(),a),b)), i (i(vectoru_sub(),c),b))), i ( i ( realu_mul(), i ( vectoru_norm(), i (i(vectoru_sub(),a),b))), i ( vectoru_norm(), i (i(vectoru_sub(),c),b))))), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_pow(),i(sin(),i(angle(),i(i(c_(),a),i(i(c_(),b),c))))),i(NUMERAL(), i (BIT0(),i(BIT1(),u_0())))) i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(sqrt(),i(i(realu_sub(), i( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), i(i( realu_pow(), i ( i(realu_div(),i(i(dot(),x),y)), i ( i ( realu_mul(), i(vectoru_norm(),x)), i (vectoru_norm(),y)))), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))) -> i(sin(),i(i(vectoru_angle(),x),y)) i(i(i(COND(),i(i(a_(),k),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(), i(i(realu_div(), i(i(realu_add(),i(realu_ofu_num(),n)), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_add(),i(realu_ofu_num(),n)), i(i(realu_sub(), i(realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), i(realu_ofu_num(),k))))), i(realu_ofu_num(),i(binom(),i(i(c_(),n),k))))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),k))) i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_sub(), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))), i(i(realu_pow(), i(i(realu_div(),i(i(dot(),x),y)), i(i(realu_mul(),i(vectoru_norm(),x)), i(vectoru_norm(),y)))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_pow(),i(sin(),i(i(vectoru_angle(),x),y))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(b_s_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(), i ( i(a_(),y), i ( realu_ofu_num(), i (NUMERAL(),u_0())))), i(i ( b_s_(), i ( i ( s_b_(), i ( i ( realu_lt(), i ( realu_ofu_num(), i (NUMERAL(),u_0()))), x)), i ( i ( realu_lt(), i ( realu_ofu_num(), i (NUMERAL(),u_0()))), y))), i ( i ( s_b_(), i ( i(realu_lt(),x), i ( realu_ofu_num(), i (NUMERAL(),u_0())))), i ( i(realu_lt(),y), i ( realu_ofu_num(), i (NUMERAL(),u_0()))))))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),y)) i(i(b_s_(),i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(), i( i(a_(),y), i ( intu_ofu_num(), i (NUMERAL(),u_0())))), i(i( b_s_(), i ( i ( s_b_(), i ( i ( intu_lt(), i ( intu_ofu_num(), i (NUMERAL(),u_0()))), x)), i ( i ( intu_lt(), i ( intu_ofu_num(), i (NUMERAL(),u_0()))), y))), i( i ( s_b_(), i ( i(intu_lt(),x), i ( intu_ofu_num(), i (NUMERAL(),u_0())))), i ( i(intu_lt(),y), i ( intu_ofu_num(), i (NUMERAL(),u_0()))))))) -> i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_mul(),x),y)) i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(i(realu_pow(),h), i( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(i(realu_div(),i( i ( realu_sub(), i ( i ( realu_div(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), i (i(realu_mul(),a),a))), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(realu_ofu_num(), i(NUMERAL(),i( BIT0(), i (BIT1(),i(BIT1(),u_0())))))))) -> i(i(i(i(i(i(volu_frusttu_wedge(),v0),v1),v2),v3),h),a) i(i(realu_div(),i(i(realu_sub(),i(i(realu_add(),i(i(realu_pow(),i(vectoru_norm(),x)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(vectoru_norm(),y)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_pow(),i(vectoru_norm(),i(i(vectoru_sub(),x),y))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(), i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))) -> i(i(dot(),x),y) i(i(realu_div(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_pow(),i(vectoru_norm(), i(i(vectoru_add(),x),y))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(vectoru_norm(),x)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_pow(),i(vectoru_norm(),y)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(dot(),x),y) i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x2),NIL()))))), i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),y2),NIL())))))), i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y2),i(i(CONS(),x2),NIL()))))), i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x1),NIL())))))) -> i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),x2),NIL()))))), i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),NIL()))))) i(i(INTER(),i(i(hull(),affine()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY())))), i(ball(),i(i(c_(),i(i(r_(),i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(vectoru_add(),a),b))),i(i(realu_div(),i(vectoru_norm(), i(i(vectoru_sub(),b),a))), i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(openu_segment(),i(i(c_(),a),b)) i(i(INTER(),i(i(hull(),affine()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY())))), i(cball(),i(i(c_(),i(i(r_(),i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), i(i(vectoru_add(),a),b))),i(i(realu_div(),i(vectoru_norm(), i (i(vectoru_sub(),b),a))), i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))), i(ccos(),i(i(complexu_div(),i(i(vectoru_add(),w),z)),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_sub(),i(csin(),w)),i(csin(),z)) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_add(),w),z)), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))), i(ccos(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_add(),i(csin(),w)),i(csin(),z)) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_add(),w),z)), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))), i(csin(),i(i(complexu_div(),i(i(vectoru_sub(),z),w)),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_sub(),i(ccos(),w)),i(ccos(),z)) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(complexu_mul(),i(ccos(),i(i(complexu_div(),i(i(vectoru_add(),w),z)), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))), i(ccos(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_add(),i(ccos(),w)),i(ccos(),z)) i(i(DIFF(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))), i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),b),c)),NIL()))), i(closedu_segment(),i(i(CONS(),i(i(c_(),c),a)),NIL()))))) -> i(interior(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) i(i(complexu_mul(),i(i(complexu_div(),ii()),i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(clog(),i(i(complexu_div(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(complexu_mul(),ii()),z))),i(i(vectoru_add(), i( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(complexu_mul(),ii()),z))))) -> i(catn(),z) i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(acs(),i(i(realu_div(),i(i(dot(),x),y)),i(i(realu_mul(),i(vectoru_norm(),x)), i(vectoru_norm(),y))))) -> i(i(vectoru_angle(),x),y) i(i(b_s_(),i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(angle(), i(i(c_(),Ai_),i(i(c_(),Bi_),Ci_))))), i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(i(realu_sub(),pi()), i(angle(),i(i(c_(),Ai_),i(i(c_(),Bi_),Ci_)))))) -> i(i(a_(),i(sin(),i(angle(),i(i(c_(),A),i(i(c_(),B),C))))),i(sin(),i( angle(), i ( i(c_(),Ai_),i(i(c_(),Bi_),Ci_))))) i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))), i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),c),b))), i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),a),b))),i(vectoru_norm(), i(i(vectoru_sub(),c),b))))) -> i(cos(),i(angle(),i(i(c_(),a),i(i(c_(),b),c)))) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(cos(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_add(),i(sin(),x)),i(sin(),y)) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(cos(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_sub(),i(sin(),x)),i(sin(),y)) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(cos(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(cos(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_add(),i(cos(),x)),i(cos(),y)) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))), i(sin(),i(i(realu_div(),i(i(realu_sub(),y),x)),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_sub(),i(cos(),x)),i(cos(),y)) i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(), i(w_(), i ( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(i(a_(), i ( i ( vectoru_add(), i ( i(r_(),i(vectoru_norm(),x)),y)), i ( i(r_(),i(vectoru_norm(),y)),x))), i(vec(),i(NUMERAL(),u_0()))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),pi()) i(i(i(COND(),i(i(a_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_div(),pi()), i ( realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)),i(i(vectoru_angle(),x),y)), i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)))) -> i(i(vectoru_angle(),i(i(r_(),a),x)),y) i(i(i(COND(),i(i(a_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_div(),pi()), i ( realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))), i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)),i(i(vectoru_angle(),x),y)), i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)))) -> i(i(vectoru_angle(),x),i(i(r_(),a),y)) i(i(i(COND(),i(i(realu_lt(),i(i(realu_add(),i(frac(),x)),i(frac(),y))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(frac(),x)), i (frac(),y))), i(i(realu_sub(),i(i(realu_add(),i(frac(),x)),i(frac(),y))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))) -> i(frac(),i(i(realu_add(),x),y)) i(i(i(COND(),i(i(realu_lt(),i(i(realu_add(),i(frac(),x)),i(frac(),y))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(floor(),x)), i (floor(),y))), i(i(realu_add(),i(i(realu_add(),i(floor(),x)),i(floor(),y))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))) -> i(floor(),i(i(realu_add(),x),y)) i(i(s_b_(),i(i(a_(),i(Im(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(b_s_(),i(i(s_b_(),i(i(realu_le(),a),i(Re(),x))),i(i(realu_le(),i(Re(),x)),b))), i(i(s_b_(),i(i(realu_le(),b),i(Re(),x))),i(i(realu_le(),i(Re(),x)),a)))) -> i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),i(Cx(),a)),i(Cx(),b))),NIL()))) i(i(b_s_(),i(i(s_b_(),i(i(l_a_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x)),i(i(l_(),m),n))), i(i(s_b_(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(s_b_(),i(w_(),i(i(a_(),m),i(NUMERAL(),u_0())))), i(i(a_(),n),i(NUMERAL(),u_0()))))) -> i(i(l_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(), i( i(d_(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(d_(),y), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(dot(),x),y) i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY())), i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL()))),EMPTY()))), i(i(s_b_(),i(i(a_(),a),c)),i(i(a_(),b),d))) -> i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i( closedu_interval(), i ( i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(i( realu_sub(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), c)), i(i(realu_div(),i( i(realu_pow(),r), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(i(i(i(i(i(volu_conicu_capu_wedge(),v0),v1),v2),v3),r),c) i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))), i(i(a_(),i(distance(),i(i(c_(),A),C))), i(realu_abs(),i(i(realu_sub(),i(distance(),i(i(c_(),A),B))), i(distance(),i(i(c_(),C),B))))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(i(COND(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(i(COND(),i( i(realu_lt(),x), i ( realu_ofu_num(), i (NUMERAL(),u_0())))), i(realu_neg(), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(realu_sgn(),x) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_div(), i(i ( vectoru_sub(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i (i(complexu_mul(),ii()),z))), i(i(vectoru_add(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(complexu_mul(),ii()),z))))) -> i(i(realu_lt(),i(vectoru_norm(),z)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(i(COND(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(i(COND(),i(i(intu_lt(),x), i ( intu_ofu_num(), i (NUMERAL(),u_0())))), i(intu_neg(), i(intu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(intu_ofu_num(),i(NUMERAL(),u_0())))) -> i(intu_sgn(),x) i(complex(),i(i(c_(),i(i(realu_sub(),i(i(realu_mul(),i(Re(),w)),i(Re(),z))), i(i(realu_mul(),i(Im(),w)),i(Im(),z)))),i(i(realu_add(), i ( i(realu_mul(),i(Re(),w)), i (Im(),z))), i(i(realu_mul(),i(Im(),w)), i (Re(),z))))) -> i(i(complexu_mul(),w),z) i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(), i(w_(), i ( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(i(a_(), i ( vectoru_norm(), i (i(vectoru_sub(),x),y))), i(i ( realu_add(), i(vectoru_norm(),x)), i (vectoru_norm(),y))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),pi()) i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_div(),i(i(dot(),x),y)), i(i(realu_mul(),i(vectoru_norm(),x)), i(vectoru_norm(),y)))) -> i(cos(),i(i(vectoru_angle(),x),y)) i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(), i(w_(), i ( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(i(a_(), i ( vectoru_norm(), i (i(vectoru_add(),x),y))), i(i ( realu_add(), i(vectoru_norm(),x)), i (vectoru_norm(),y))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Im(),i(i(complexu_div(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(i(complexu_mul(),ii()),z))),i ( i ( vectoru_add(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i (i(complexu_mul(),ii()),z))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Re(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(measure(),i(i(INTER(),i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),r))), i(i(affu_gt(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY())), i(i(INSERT(),i(vectoru_neg(),v1)),i(i(INSERT(),i(vectoru_neg(),v2)), i(i(INSERT(),i(vectoru_neg(),v3)),EMPTY())))))) -> i(measure(),i(i(INTER(),i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),r))), i(i(affu_gt(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY())), i(i(INSERT(),v1),i(i(INSERT(),v2),i(i(INSERT(),v3),EMPTY())))))) i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(i(realu_div(),i( i(realu_pow(),r), i ( NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(i(i(i(i(volu_ballu_wedge(),v0),v1),v2),v3),r) i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))), i(i(a_(),i(distance(),i(i(c_(),A),C))), i(i(realu_add(),i(distance(),i(i(c_(),A),B))), i(distance(),i(i(c_(),B),C)))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),pi()) i(i(realu_sub(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_pow(),i(cos(),x)),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))), i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(cos(),x))) -> i(cos(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),x)) i(i(b_s_(),i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),y))), i(i(s_b_(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(realu_lt(),y),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),y)) i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(), i(w_(), i ( i(a_(),y), i (vec(),i(NUMERAL(),u_0()))))), i(i(a_(), i ( i(r_(),i(vectoru_norm(),x)),y)), i(i(r_(),i(vectoru_norm(),y)),x)))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(b_s_(),i(i(s_b_(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),y))), i(i(s_b_(),i(i(intu_lt(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))), i(i(intu_lt(),y),i(intu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_mul(),x),y)) i(i(vectoru_sub(),i(i(r_(),i(det(),i(vector(),i(i(CONS(),w),i(i(CONS(),x),i(i(CONS(),z),NIL())))))), y)),i(i(r_(),i(det(),i(vector(),i(i(CONS(),w),i( i(CONS(),x), i (i(CONS(),y),NIL())))))), z)) -> i(i(cross(),i(i(cross(),w),x)),i(i(cross(),y),z)) i(i(b_s_(),i(i(s_b_(),i(i(realu_lt(),i(drop(),b)),i(drop(),a))),i(i(realu_lt(),i(drop(),d)), i(drop(),c)))), i(i(s_b_(),i(i(a_(),i(drop(),a)),i(drop(),c))),i(i(a_(),i(drop(),b)),i(drop(),d)))) -> i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i( closedu_interval(), i ( i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(s_b_(),i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(i(s_b_(),i(w_(),i(i(a_(),x),a))),i(i(s_b_(),i(w_(),i(i(a_(),x),b))),i(w_(),i(i(a_(),a),b))))) -> i(i(IN(),x),i(openu_segment(),i(i(c_(),a),b))) i(i(i(COND(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(a_a_g_(),i(i(a_(),m),i(NUMERAL(),u_0()))), i(i(a_(),n),i(NUMERAL(),u_0())))), i(i(b_s_(),i(i(a_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(l_a_(),m),n))) -> i(i(l_a_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) i(i(i(COND(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(a_(),i(i(a_(),m),i(NUMERAL(),u_0()))), i(i(a_(),n),i(NUMERAL(),u_0())))), i(i(b_s_(),i(i(a_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(a_(),m),n))) -> i(i(a_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) i(i(b_s_(),i(i(s_b_(),i(w_(),i(i(IN(),x),s0))),i(w_(),i(i(IN(),y),s0)))), i(i(s_b_(),i(i(IN(),x),s0)),i(i(s_b_(),i(i(IN(),y),s0)),i(i(i(connectedu_component(),s0),x),y)))) -> i(i(a_(),i(i(connectedu_component(),s0),x)),i(i(connectedu_component(),s0),y)) i(i(complexu_mul(),i(vectoru_neg(),ii())),i(clog(),i(i(vectoru_add(),z), i(i(complexu_mul(),ii()), i(csqrt(),i(i ( vectoru_sub(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i ( i(complexu_pow(),z), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))))))) -> i(cacs(),z) i(i(complexu_mul(),i(vectoru_neg(),ii())),i(clog(),i(i(vectoru_add(),i(i(complexu_mul(),ii()),z)), i(csqrt(),i(i(vectoru_sub(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i(i(complexu_pow(),z), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(casn(),z) i(vector(),i(i(CONS(),i(vector(),i(i(CONS(),i(cos(),t)),i(i(CONS(),i(realu_neg(),i(sin(),t))), NIL())))), i(i(CONS(),i(vector(),i(i(CONS(),i(sin(),t)),i(i(CONS(),i(cos(),t)),NIL())))),NIL()))) -> i(matrix(),i(rotate2d(),t)) i(i(realu_mul(),i(i(realu_div(),i(i(realu_add(),i(realu_ofu_num(),p)), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(realu_add(),i(realu_ofu_num(),k)),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(binom(),i(i(c_(),p),k)))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),i(i(p_(),p),i(NUMERAL(),i(BIT1(),u_0())))), i(i(p_(),k),i(NUMERAL(),i(BIT1(),u_0())))))) i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(realu_abs(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(a_a_g_(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(EVEN(),n)))), i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(a_(),i(i(realu_pow(),x),n)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(b_s_(),i(i(a_(),a),b)),i(i(s_b_(),i(i(IN(),a),i(closedu_segment(), i(i(CONS(),i(i(c_(),c),d)),NIL())))), i(i(IN(),b),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))))) -> i(i(SUBSET(),i(openu_segment(),i(i(c_(),a),b))),i(openu_segment(),i(i(c_(),c),d))) i(i(b_s_(),i(i(a_(),a),b)),i(i(s_b_(),i(i(IN(),a),i(closedu_segment(), i(i(CONS(),i(i(c_(),c),d)),NIL())))), i(i(IN(),b),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))))) -> i(i(SUBSET(),i(openu_segment(),i(i(c_(),a),b))),i(closedu_segment(), i(i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY())), i(i(a_(),i(openu_interval(),i(i(c_(),c),d))),EMPTY()))), i(i(s_b_(),i(i(a_(),a),c)),i(i(a_(),b),d))) -> i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),i(openu_interval(),i(i(c_(),c),d))) i(inside(),i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),b),c)),NIL()))), i(closedu_segment(),i(i(CONS(),i(i(c_(),c),a)),NIL()))))) -> i(interior(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) i(i(i(COND(),i(i(l_a_(),k),n)),i(i(realu_div(),i(realu_ofu_num(),i(FACT(),n))), i(i(realu_mul(),i(realu_ofu_num(),i(FACT(),i(i(m_(),n),k)))), i(realu_ofu_num(),i(FACT(),k))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),n),k))) i(i(i(COND(),i(i(realu_le(),i(i(vectoru_angle(),x),y)),i(i(realu_div(),pi()), i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))), i(i(vectoru_angle(),x),y)),i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y))) -> i(asn(),i(sin(),i(i(vectoru_angle(),x),y))) i(i(b_s_(),i(i(a_(),i(i(r_(),i(vectoru_norm(),x)),y)),i(i(r_(),i(vectoru_norm(),y)),x))), i(i(a_(),i(i(r_(),i(vectoru_norm(),x)),y)),i(i(r_(),i(realu_neg(),i(vectoru_norm(),y))),x))) -> i(i(a_(),i(realu_abs(),i(i(dot(),x),y))),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y))) i(i(realu_mul(),i(realu_ofu_num(),i(binom(),i(i(c_(),n),k)))),i(i(realu_mul(), i(i(realu_pow(),x),k)), i(i( realu_pow(), i ( i ( realu_sub(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), x)), i(i(m_(),n),k)))) -> i(i(i(bernstein(),n),k),x) i(i(b_s_(),i(i(a_(),a),b)),i(i(b_s_(),i(i(a_(),a),c)),i(i(b_s_(),i(i(a_(),b),c)), i(affineu_dependent(), i(i(INSERT(),a), i(i(INSERT(),b), i(i(INSERT(),c),EMPTY()))))))) -> i(collinear(),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY())))) i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),b),c)),NIL()))), i(closedu_segment(),i(i(CONS(),i(i(c_(),c),a)),NIL())))) -> i(frontier(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) i(Im(),i(clog(),i(i(vectoru_add(),z),i(i(complexu_mul(),ii()),i(csqrt(), i(i( vectoru_sub(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i( i(complexu_pow(),z), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))))))) -> i(Re(),i(cacs(),z)) i(Im(),i(clog(),i(i(vectoru_add(),i(i(complexu_mul(),ii()),z)),i(csqrt(), i(i ( vectoru_sub(), i ( Cx(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0()))))), i ( i(complexu_pow(),z), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))))) -> i(Re(),i(casn(),z)) i(i(s_b_(),i(i(a_(),i(i(matrixu_mul(),i(transp(),Q)),Q)),i(mat(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(a_(),i(i(matrixu_mul(),Q),i(transp(),Q))),i(mat(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(orthogonalu_matrix(),Q) i(i(s_b_(),i(i(faceu_of(),f),s0)),i(i(s_b_(),i(w_(),i(i(a_(),f),EMPTY()))), i(i(a_(),i(affu_dim(),f)),i(i(intu_sub(),i(affu_dim(),s0)), i(intu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(i(facetu_of(),f),s0) i(i(i(COND(),i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY())),EMPTY()), i(i(DIFF(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(openu_interval(),i(i(c_(),a),b)))) -> i(frontier(),i(openu_interval(),i(i(c_(),a),b))) i(i(realu_mul(),i(i(realu_div(),i(i(realu_sub(),i(realu_ofu_num(),n)),i(realu_ofu_num(),k))), i(i(realu_add(),i(realu_ofu_num(),k)),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(binom(),i(i(c_(),n),k)))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),n),i(i(p_(),k),i(NUMERAL(),i(BIT1(),u_0())))))) i(i(i(COND(),i(i(l_a_(),m),i(SUC(),n))),i(i(realu_mul(),i(i(product(),i(i(o_o_(),m),n)),f)), i(f,i(SUC(),n)))),i(i(product(),i(i(o_o_(),m),n)),f)) -> i(i(product(),i(i(o_o_(),m),i(SUC(),n))),f) i(i(i(COND(),i(i(l_a_(),m),i(SUC(),n))),i(i(vectoru_add(),i(i(vsum(),i(i(o_o_(),m),n)),f)), i(f,i(SUC(),n)))),i(i(vsum(),i(i(o_o_(),m),n)),f)) -> i(i(vsum(),i(i(o_o_(),m),i(SUC(),n))),f) i(i(i(COND(),i(i(l_a_(),m),i(SUC(),n))),i(i(p_(),i(i(nsum(),i(i(o_o_(),m),n)),f)),i(f,i(SUC(),n)))), i(i(nsum(),i(i(o_o_(),m),n)),f)) -> i(i(nsum(),i(i(o_o_(),m),i(SUC(),n))),f) i(i(i(COND(),i(i(l_a_(),m),i(SUC(),n))),i(i(realu_add(),i(i(sum(),i(i(o_o_(),m),n)),f)), i(f,i(SUC(),n)))),i(i(sum(),i(i(o_o_(),m),n)),f)) -> i(i(sum(),i(i(o_o_(),m),i(SUC(),n))),f) i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(complexu_div(),i(i(vectoru_sub(),i(cexp(),i(i(complexu_mul(),ii()),z))), i(cexp(),i(i(complexu_mul(),i(vectoru_neg(),ii())),z)))), i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),ii())) -> i(csin(),z) i(i(a_(),i(i(realu_pow(),i(distance(),i(i(c_(),w),x))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(distance(),i(i(c_(),y),z))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(a_(),i(distance(),i(i(c_(),w),x))),i(distance(),i(i(c_(),y),z))) i(i(b_s_(),i(i(s_b_(),i(i(a_(),a),b)),i(i(a_(),c),d))),i(i(a_(),i(i(INSERT(),a), i(i(INSERT(),b),EMPTY()))), i(i(INSERT(),c),i(i(INSERT(),d),EMPTY())))) -> i(i(a_(),i(openu_segment(),i(i(c_(),a),b))),i(openu_segment(),i(i(c_(),c),d))) i(i(a_(),i(det(),i(vector(),i(i(CONS(),i(i(vectoru_sub(),v1),v0)),i( i ( CONS(), i (i(vectoru_sub(),v2),v0)), i ( i ( CONS(), i (i(vectoru_sub(),v3),v0)), NIL())))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(coplanar(),i(i(INSERT(),v0),i(i(INSERT(),v1),i(i(INSERT(),v2),i(i(INSERT(),v3),EMPTY()))))) i(i(b_s_(),i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),pi())) -> i(i(a_(),i(sin(),i(angle(),i(i(c_(),A),i(i(c_(),B),C))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_sub(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(cos(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(cos(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),x)) i(i(realu_mul(),i(i(realu_div(),i(i(realu_add(),i(exp(),i(Im(),z))), i(exp(),i(realu_neg(),i(Im(),z))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(cos(),i(Re(),z))) -> i(Re(),i(ccos(),z)) i(i(realu_mul(),i(i(realu_div(),i(i(realu_sub(),i(exp(),i(Im(),z))), i(exp(),i(realu_neg(),i(Im(),z))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(cos(),i(Re(),z))) -> i(Im(),i(csin(),z)) i(i(realu_mul(),i(i(realu_div(),i(i(realu_add(),i(exp(),i(Im(),z))), i(exp(),i(realu_neg(),i(Im(),z))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(sin(),i(Re(),z))) -> i(Re(),i(csin(),z)) i(i(realu_mul(),i(i(realu_div(),i(i(realu_sub(),i(exp(),i(realu_neg(),i(Im(),z)))), i(exp(),i(Im(),z)))),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(sin(),i(Re(),z))) -> i(Im(),i(ccos(),z)) i(i(realu_add(),i(i(realu_pow(),i(vectoru_norm(),i(i(cross(),x),y))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(i(dot(),x),y)), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_pow(),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(i(COND(),i(i(realu_le(),i(drop(),a)),i(drop(),b))),i(closedu_interval(), i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(closedu_interval(),i(i(CONS(),i(i(c_(),b),a)),NIL()))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(d_(),i(i(d_(),i(i(matrixu_mul(),i(rowvector(),x)),i(i(matrixu_mul(), i(i(matrixu_mul(),i(transp(),A)),B)), i(columnvector(),y)))), i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0()))) -> i(i(dot(),i(i(matrixu_vectoru_mul(),A),x)),i(i(matrixu_vectoru_mul(),B),y)) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(distance(),i(i(c_(),x),a)))), i(i(realu_le(),i(distance(),i(i(c_(),x),a))),i(distance(),i(i(c_(),y),a)))) -> i(i(i(netord(),i(at(),a)),x),y) i(i(b_s_(),i(w_(),i(i(IN(),a),s0))),i(i(b_s_(),i(w_(),i(i(IN(),b),s0))), i(w_(),i(i(a_(),i(i(connectedu_component(),s0),a)), i(i(connectedu_component(),s0),b))))) -> i(i(a_(),i(i(INTER(),i(i(connectedu_component(),s0),a)),i(i(connectedu_component(),s0),b))), EMPTY()) i(i(s_b_(),i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(i(s_b_(),i(w_(),i(i(a_(),x),a))),i(w_(),i(i(a_(),x),b)))) -> i(i(IN(),x),i(openu_segment(),i(i(c_(),a),b))) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_abs(), i (i(realu_sub(),x),a)))), i(i(realu_le(),i(realu_abs(),i(i(realu_sub(),x),a))),i(realu_abs(),i(i(realu_sub(),y),a)))) -> i(i(i(netord(),i(atreal(),a)),x),y) i(acs(),i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),v),u)),i(i(vectoru_sub(),w),u))), i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),v),u))), i(vectoru_norm(),i(i(vectoru_sub(),w),u))))) -> i(i(i(arcV(),u),v),w) i(i(complexu_div(),i(i(vectoru_add(),i(cexp(),i(i(complexu_mul(),ii()),z))), i(cexp(),i(i(complexu_mul(),i(vectoru_neg(),ii())),z)))), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(ccos(),z) i(i(realu_div(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(sqrt(), i ( i ( realu_add(), i ( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), i ( i(realu_pow(),x), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))))) -> i(cos(),i(atn(),x)) i(i(t_(),i(i(EXP(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x)),i(i(p_(), i ( i ( t_(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))), y)), i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(NUMPAIR(),x),y) i(i(a_(),i(i(intu_add(),i(i(intu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(intu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(s_b_(),i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),y), i(intu_ofu_num(), i(NUMERAL(),u_0())))) i(i(s_b_(),i(w_(),i(i(a_(),i(det(),A)),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(i(a_(),Ai_),i(i(r_r_(),i(realu_inv(),i(det(),A))),i(transp(),i(cofactor(),A))))) -> i(i(a_(),i(i(matrixu_mul(),Ai_),A)),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(a_(),i(i(realu_add(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(s_b_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),y), i(realu_ofu_num(), i (NUMERAL(),u_0())))) i(i(s_b_(),i(w_(),i(i(a_(),i(det(),A)),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(i(a_(),Ai_),i(i(r_r_(),i(realu_inv(),i(det(),A))),i(transp(),i(cofactor(),A))))) -> i(i(a_(),i(i(matrixu_mul(),A),Ai_)),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(s_b_(),i(integer(),i(i(realu_sub(),x),a))),i(i(s_b_(),i(i(realu_le(), i(realu_ofu_num(),i(NUMERAL(),u_0()))), a)),i(i(realu_lt(),a), i( realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))))) -> i(i(a_(),i(frac(),x)),a) i(i(s_b_(),i(i(IN(),a),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL())))), i(i(IN(),b),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL())))) -> i(i(SUBSET(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(b_s_(),i(i(a_(),a),b)),i(i(SUBSET(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL())))) -> i(i(SUBSET(),i(openu_segment(),i(i(c_(),a),b))),i(openu_segment(),i(i(c_(),c),d))) i(i(b_s_(),i(i(a_(),i(i(vectoru_angle(),x),y)),i(i(vectoru_angle(),w),z))), i(i(a_(),i(i(vectoru_angle(),x),y)),i(i(realu_sub(),pi()),i(i(vectoru_angle(),w),z)))) -> i(i(a_(),i(sin(),i(i(vectoru_angle(),x),y))),i(sin(),i(i(vectoru_angle(),w),z))) i(i(realu_mul(),i(distance(),i(i(c_(),A),C))),i(i(realu_mul(),i(distance(),i(i(c_(),B),C))), i(cos(),i(angle(),i(i(c_(),A),i(i(c_(),C),B)))))) -> i(i(dot(),i(i(vectoru_sub(),A),C)),i(i(vectoru_sub(),B),C)) i(i(b_s_(),i(i(between(),a),i(i(c_(),b),c))),i(i(b_s_(),i(i(between(),b),i(i(c_(),c),a))), i(i(between(),c),i(i(c_(),a),b)))) -> i(collinear(),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY())))) i(i(vectoru_add(),i(i(cross(),x),i(i(cross(),y),z))),i(i(vectoru_add(), i(i(cross(),y),i(i(cross(),z),x))), i(i(cross(),z),i(i(cross(),x),y)))) -> i(vec(),i(NUMERAL(),u_0())) i(i(a_(),i(i(dot(),i(i(vectoru_sub(),x),a)),i(i(vectoru_sub(),b),x))), i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),x),a))),i(vectoru_norm(), i(i(vectoru_sub(),b),x)))) -> i(i(between(),x),i(i(c_(),a),b)) i(i(a_(),i(i(r_(),i(vectoru_norm(),i(i(vectoru_sub(),x),a))),i(i(vectoru_sub(),b),x))), i(i(r_(),i(vectoru_norm(),i(i(vectoru_sub(),b),x))),i(i(vectoru_sub(),x),a))) -> i(i(between(),x),i(i(c_(),a),b)) i(i(a_(),i(i(r_(),i(vectoru_norm(),i(i(vectoru_sub(),x),y))),i(i(vectoru_sub(),y),z))), i(i(r_(),i(vectoru_norm(),i(i(vectoru_sub(),y),z))),i(i(vectoru_sub(),x),y))) -> i(i(a_(),i(distance(),i(i(c_(),x),z))),i(i(realu_add(),i(distance(),i(i(c_(),x),y))), i(distance(),i(i(c_(),y),z)))) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),d)), i(i(s_b_(),i(i(realu_lt(),i(i(realu_sub(),x),d)),y)),i(i(realu_lt(),y),i(i(realu_add(),x),d)))) -> i(i(realu_lt(),i(realu_abs(),i(i(realu_sub(),y),x))),d) i(i(s_b_(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),d)),i ( i ( s_b_(), i ( i ( intu_lt(),i(i(intu_sub(),x),d)), y)), i ( i(intu_lt(),y), i (i(intu_add(),x),d)))) -> i(i(intu_lt(),i(intu_abs(),i(i(intu_sub(),y),x))),d) i(i(vectoru_add(),i(t,i(NUMERAL(),i(BIT1(),u_0())))),i(i(vectoru_add(), i(t,i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(t,i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))) -> i(i(vsum(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),t) i(i(complexu_mul(),i(Cx(),i(exp(),i(Re(),z)))),i(i(vectoru_add(),i(Cx(),i(cos(),i(Im(),z)))), i(i(complexu_mul(),ii()), i(Cx(),i(sin(),i(Im(),z)))))) -> i(cexp(),z) i(i(b_s_(),i(i(realu_lt(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(realu_gt(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_gt(),i(vectoru_norm(),x)),a) i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)), i(i(realu_lt(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_lt(),i(vectoru_norm(),x)),a) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)), i(i(realu_lt(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_lt(),i(vectoru_norm(),x)),a) i(i(b_s_(),i(i(realu_le(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(realu_ge(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_ge(),i(vectoru_norm(),x)),a) i(i(realu_mul(),i(t,i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(),i ( t, i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(t,i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))) -> i(i(product(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),t) i(i(realu_add(),i(t,i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_add(),i ( t, i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), i(t,i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))) -> i(i(sum(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),t) i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)), i(i(realu_le(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_le(),i(vectoru_norm(),x)),a) i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)), i(i(a_(),i(i(dot(),x),x)),i(i(realu_pow(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(a_(),i(vectoru_norm(),x)),a) i(i(complexu_div(),i(i(vectoru_sub(),i(ccos(),i(i(vectoru_sub(),w),z))), i(ccos(),i(i(vectoru_add(),w),z)))),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(complexu_mul(),i(csin(),w)),i(csin(),z)) i(i(complexu_div(),i(i(vectoru_add(),i(ccos(),i(i(vectoru_sub(),w),z))), i(ccos(),i(i(vectoru_add(),w),z)))),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(complexu_mul(),i(ccos(),w)),i(ccos(),z)) i(i(i(COND(),i(i(a_(),w),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(cexp(),i(i(complexu_mul(),z),i(clog(),w)))) -> i(i(cpow(),w),z) i(i(complexu_div(),i(i(vectoru_add(),i(csin(),i(i(vectoru_add(),w),z))), i(csin(),i(i(vectoru_sub(),w),z)))),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(complexu_mul(),i(csin(),w)),i(ccos(),z)) i(sqrt(),i(i(realu_add(),i(i(realu_pow(),i(vectoru_norm(),x)),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(vectoru_norm(),y)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(vectoru_norm(),i(i(pastecart(),x),y)) i(i(a_(),i(i(realu_pow(),i(i(dot(),x),y)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(i(dot(),x),x)),i(i(dot(),y),y))) -> i(collinear(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),x),i(i(INSERT(),y),EMPTY())))) i(i(complexu_div(),i(i(vectoru_sub(),i(csin(),i(i(vectoru_add(),w),z))), i(csin(),i(i(vectoru_sub(),w),z)))),i(Cx(),i(realu_ofu_num(), i( NUMERAL(), i (BIT0(),i(BIT1(),u_0())))))) -> i(i(complexu_mul(),i(ccos(),w)),i(csin(),z)) i(i(i(COND(),i(i(realu_le(),a),b)),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),b),a)),NIL()))) -> i(closedu_realu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(t_(),i(i(m_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),k)),i(binom(), i ( i ( c_(), i ( i(p_(),n), i (NUMERAL(),i(BIT1(),u_0())))), k))) -> i(i(t_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),i(binom(),i(i(c_(),n),k))) i(i(i(COND(),i(i(l_a_(),k),n)),i(i(DIV(),i(FACT(),n)),i(i(t_(),i(FACT(),i(i(m_(),n),k))), i(FACT(),k)))), i(NUMERAL(),u_0())) -> i(binom(),i(i(c_(),n),k)) i(sqrt(),i(i(realu_add(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(vectoru_norm(),z) i(i(complexu_div(),i(i(vectoru_sub(),z),i(clog(),i(cexp(),z)))),i(i( complexu_mul(), i ( Cx(), i ( i ( realu_mul(), i ( realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))), pi ()))), ii())) -> i(unwinding(),z) i(i(i(hasu_integral(),i(i(o(),lift()),i(i(o(),f),drop()))),i(lift(),y)), i(closedu_interval(),i(i(CONS(),i(i(c_(),i(lift(),a)),i(lift(),b))),NIL()))) -> i(i(i(hasu_realu_integral(),f),y),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(closedu_interval(),i(i(CONS(),i(i(c_(),i(lift(),i(i(realu_max(),i(drop(),a)),i(drop(),c)))), i(lift(),i(i(realu_min(),i(drop(),b)),i(drop(),d))))), NIL())) -> i(i(INTER(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(b_s_(),i(i(a_(),x),a)),i(i(b_s_(),i(i(a_(),x),b)),i(i(a_(),i(angle(), i(i(c_(),a),i(i(c_(),x),b)))), pi()))) -> i(i(between(),x),i(i(c_(),a),b)) i(i(i(COND(),i(i(a_(),i(f,x)),i(neutral(),op))),i(i(i(support(),op),f),s0)), i(i(INSERT(),x),i(i(i(support(),op),f),s0))) -> i(i(i(support(),op),f),i(i(INSERT(),x),s0)) i(vector(),i(i(CONS(),i(i(realu_mul(),r),i(cos(),i(i(realu_add(),t),s0)))), i(i(CONS(),i(i(realu_mul(),r),i(sin(),i(i(realu_add(),t),s0)))),NIL()))) -> i(i(rotate2d(),t),i(vector(),i(i(CONS(),i(i(realu_mul(),r),i(cos(),s0))), i(i(CONS(),i(i(realu_mul(),r),i(sin(),s0))),NIL())))) i(i(i(COND(),i(EVEN(),n)),i(i(b_s_(),i(i(a_(),n),i(NUMERAL(),u_0()))), i(i(a_(),i(realu_abs(),x)),i(realu_abs(),y)))), i(i(a_(),x),y)) -> i(i(a_(),i(i(realu_pow(),x),n)),i(i(realu_pow(),y),n)) i(i(realu_add(),i(i(realu_div(),e),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(realu_div(),e),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> e i(i(realu_sub(),i(i(realu_pow(),i(cos(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(sin(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(cos(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),x)) i(i(vectoru_sub(),i(i(complexu_pow(),i(ccos(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(complexu_pow(),i(csin(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(ccos(),i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),z)) i(i(vectoru_add(),i(i(complexu_pow(),i(csin(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(complexu_pow(),i(ccos(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(i(COND(),i(i(a_(),l2),NIL())),F()),i(i(s_b_(),i(i(P,h1),i(HD(),l2))), i(i(i(ALL2(),P),t1),i(TL(),l2)))) -> i(i(i(ALL2(),P),i(i(CONS(),h1),t1)),l2) i(i(realu_add(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_pow(),i(vectoru_norm(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(realu_sub(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(Re(),i(i(complexu_pow(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) i(i(continuous(),i(i(o(),Cx()),i(i(o(),f),Re()))),i(i(within(),i(at(),i(Cx(),x))), i(i(INTER(),real0()),i(i(IMAGE(),Cx()),s0)))) -> i(i(realu_continuous(),f),i(i(within(),i(atreal(),x)),s0)) i(i(realu_div(),i(i(realu_sub(),i(cos(),i(i(realu_sub(),x),y))),i(cos(),i(i(realu_add(),x),y)))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_mul(),i(sin(),x)),i(sin(),y)) i(i(s_b_(),i(i(a_(),i(i(dot(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(a_(),i(i(cross(),x),y)),i(vec(),i(NUMERAL(),u_0())))) -> i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0())))) i(i(realu_div(),i(i(realu_add(),i(cos(),i(i(realu_sub(),x),y))),i(cos(),i(i(realu_add(),x),y)))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_mul(),i(cos(),x)),i(cos(),y)) i(i(s_b_(),i(i(a_(),i(intu_abs(),x)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), i(i(a_(),i(intu_abs(),y)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(a_(),i(intu_abs(),i(i(intu_mul(),x),y))),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(realu_div(),i(i(realu_add(),i(sin(),i(i(realu_add(),x),y))),i(sin(),i(i(realu_sub(),x),y)))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_mul(),i(sin(),x)),i(cos(),y)) i(i(i(COND(),i(i(IN(),a),i(i(hull(),affine()),s0))),i(affu_dim(),s0)), i(i(intu_add(),i(affu_dim(),s0)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(affu_dim(),i(i(INSERT(),a),s0)) i(i(vectoru_add(),i(ccos(),i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),n))),z))), i(i(complexu_mul(),ii()),i(csin(),i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),n))),z)))) -> i(i(complexu_pow(),i(i(vectoru_add(),i(ccos(),z)),i(i(complexu_mul(),ii()),i(csin(),z)))),n) i(i(realu_div(),i(i(realu_sub(),i(sin(),i(i(realu_add(),x),y))),i(sin(),i(i(realu_sub(),x),y)))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_mul(),i(cos(),x)),i(sin(),y)) i(i(s_b_(),i(i(a_(),i(i(dot(),x),x)),i(i(dot(),x),y))),i(i(a_(),i(i(dot(),y),y)),i(i(dot(),x),x))) -> i(i(a_(),x),y) i(i(i(COND(),b),i(SUC(),i(i(t_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x))), i(i(t_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x)) -> i(i(NUMSUM(),b),x) i(i(s_b_(),i(integer(),a)),i(i(s_b_(),i(i(realu_le(),a),x)),i(i(realu_lt(),x), i(i(realu_add(),a), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(i(a_(),i(floor(),x)),a) i(i(realu_add(),i(i(realu_pow(),i(sin(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),i(cos(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(i(hasu_vectoru_derivative(),i(i(o(),lift()),i(i(o(),f),drop()))),i(lift(),fi_)), i(i(within(),i(at(),i(lift(),x))),i(i(IMAGE(),lift()),s0))) -> i(i(i(hasu_realu_derivative(),f),fi_),i(i(within(),i(atreal(),x)),s0)) i(i(s_b_(),i(i(i(m_m_g_(),f),l),i(i(within(),i(at(),x)),s0))),i(i(i(m_m_g_(),f),l), i(i(within(),i(at(),x)),t))) -> i(i(i(m_m_g_(),f),l),i(i(within(),i(at(),x)),i(i(UNION(),s0),t))) i(i(a_(),i(cos(),i(angle(),i(i(c_(),a),i(i(c_(),b),c))))),i(cos(),i( angle(), i ( i(c_(),ai_),i(i(c_(),bi_),ci_))))) -> i(i(a_(),i(angle(),i(i(c_(),a),i(i(c_(),b),c)))),i(angle(),i(i(c_(),ai_),i(i(c_(),bi_),ci_)))) i(i(realu_mul(),i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL())))) -> i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(i(pastecart(),a),c)),i(i(pastecart(),b),d))), NIL()))) i(i(s_b_(),i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY())),i( i ( a_(), i ( closedu_interval(), i ( i(CONS(),i(i(c_(),c),d)),NIL()))), EMPTY ())) -> i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),i(closedu_interval(),i( i(CONS(),i(i(c_(),c),d)),NIL()))) i(i(s_b_(),i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY())), i(i(a_(),i(openu_interval(),i(i(c_(),c),d))),EMPTY())) -> i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i( openu_interval(), i(i(c_(),c),d))) i(i(b_s_(),i(i(l_(),n),p)),i(i(b_s_(),i(i(l_(),q),m)),i(i(b_s_(),i(i(l_(),n),m)),i(i(l_(),q),p)))) -> i(i(DISJOINT(),i(i(o_o_(),m),n)),i(i(o_o_(),p),q)) i(i(realu_sub(),i(i(realu_mul(),i(i(dot(),w),y)),i(i(dot(),x),z))),i ( i(realu_mul(),i(i(dot(),w),z)), i (i(dot(),x),y))) -> i(i(dot(),i(i(cross(),w),x)),i(i(cross(),y),z)) i(i(c_(),i(i(hrealu_add(),i(i(hrealu_mul(),x1),x2)),i(i(hrealu_mul(),y1),y2))), i(i(hrealu_add(),i(i(hrealu_mul(),x1),y2)),i(i(hrealu_mul(),y1),x2))) -> i(i(trealu_mul(),i(i(c_(),x1),y1)),i(i(c_(),x2),y2)) i(i(s_b_(),i(w_(),i(i(a_(),x),a))),i(i(s_b_(),i(w_(),i(i(a_(),x),b))), i(i(between(),x),i(i(c_(),a),b)))) -> i(i(a_(),i(angle(),i(i(c_(),a),i(i(c_(),x),b)))),pi()) i(i(i(COND(),i(FINITE(),i(i(i(support(),op),f),s0))),i(i(i(iterate(),op), i(i(i(support(),op),f),s0)), f)),i(neutral(),op)) -> i(i(i(iterate(),op),s0),f) i(i(s_b_(),i(i(IN(),a),s0)),i(i(s_b_(),i(i(IN(),b),s0)),i(i(a_(),i(i(connectedu_component(),s0),a)), i(i(connectedu_component(),s0),b)))) -> i(w_(),i(i(a_(),i(i(INTER(),i(i(connectedu_component(),s0),a)),i(i(connectedu_component(),s0),b))), EMPTY())) i(i(complexu_mul(),i(vectoru_neg(),ii())),i(i(complexu_div(),i(i(vectoru_sub(),z),i(cnj(),z))), i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(Cx(),i(Im(),z)) i(i(realu_div(),x),i(sqrt(),i(i(realu_add(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(sin(),i(atn(),x)) i(i(s_b_(),i(FINITE(),s0)),i(i(a_(),i(affu_dim(),s0)),i(i(intu_sub(), i(intu_ofu_num(),i(CARD(),s0))), i(intu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))) -> i(w_(),i(affineu_dependent(),s0)) i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),u_0()))),i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(complexu_pow(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),n) i(i(i(m_m_g_(),i(i(o(),f),Re())),a),i(i(within(),i(at(),i(Cx(),x))), i(i(INTER(),real0()),i(i(IMAGE(),Cx()),s0)))) -> i(i(i(m_m_g_(),f),a),i(i(within(),i(atreal(),x)),s0)) i(i(i(COND(),i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(complexu_pow(),z),n)) -> i(i(cpow(),z),i(Cx(),i(realu_ofu_num(),n))) i(i(i(COND(),i(i(IN(),a),s0)),i(independent(),s0)),i(i(s_b_(),i(independent(),s0)), i(w_(),i(i(IN(),a),i(span(),s0))))) -> i(independent(),i(i(INSERT(),a),s0)) i(i(i(COND(),i(i(realu_lt(),i(drop(),a)),i(drop(),b))),i(i(realu_sub(),i(drop(),b)),i(drop(),a))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(realu_lt(),i(drop(),a)),i(drop(),b))),i(i(realu_sub(),i(drop(),b)),i(drop(),a))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(i(COND(),i(i(realu_le(),i(drop(),a)),i(drop(),b))),i(i(realu_sub(),i(drop(),b)),i(drop(),a))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(realu_le(),i(drop(),a)),i(drop(),b))),i(i(realu_sub(),i(drop(),b)),i(drop(),a))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(i(COND(),i(i(realu_le(),i(drop(),a)),i(drop(),b))),i(openu_interval(),i(i(c_(),a),b))), i(openu_interval(),i(i(c_(),b),a))) -> i(openu_segment(),i(i(c_(),a),b)) i(Arg(),i(i(complexu_div(),i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),y)), i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),x))) -> i(i(i(i(azim(),i(vec(),i(NUMERAL(),u_0()))),i(basis(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),x), y) i(i(i(COND(),i(i(l_a_(),m),i(SUC(),n))),i(i(INSERT(),i(SUC(),n)),i(i(o_o_(),m),n))), i(i(o_o_(),m),n)) -> i(i(o_o_(),m),i(SUC(),n)) i(collinear(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(), i(basis(), i(NUMERAL(), i(BIT1(),i(BIT1(),u_0()))))), i(i(INSERT(),x),EMPTY())))) -> i(i(a_(),i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),x)),i(vec(),i(NUMERAL(),u_0()))) i(i(realu_max(),i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))), i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(infnorm(),x) i(i(i(COND(),i(i(l_(),k),i(LENGTH(),l))),i(i(EL(),k),l)),i(i(EL(),i(i(m_(),k),i(LENGTH(),l))),m)) -> i(i(EL(),k),i(i(APPEND(),l),m)) i(i(a_(),i(distance(),i(i(c_(),a),b))),i(i(realu_add(),i(distance(),i(i(c_(),a),x))), i(distance(),i(i(c_(),x),b)))) -> i(i(between(),x),i(i(c_(),a),b)) i(collinear(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),i(i(vectoru_sub(),x),y)), i(i(INSERT(),i(i(vectoru_sub(),z),y)), EMPTY())))) -> i(collinear(),i(i(INSERT(),x),i(i(INSERT(),y),i(i(INSERT(),z),EMPTY())))) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_div(),e),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> e i(i(d_(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),i(i(CONS(),z),NIL()))))), i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))) -> z i(i(continuousu_on(),g),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))), i(vec(),i(NUMERAL(),i(BIT1(),u_0()))))), NIL()))) -> i(path(),g) i(i(IMAGE(),g),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))), i(vec(),i(NUMERAL(),i(BIT1(),u_0()))))), NIL()))) -> i(pathu_image(),g) i(i(intu_le(),i(i(intu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(intu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(intu_le(),i(intu_abs(),x)),i(intu_abs(),y)) i(i(i(COND(),i(i(IN(),x),i(span(),s0))),i(dim(),s0)),i(i(p_(),i(dim(),s0)), i(NUMERAL(),i(BIT1(),u_0())))) -> i(dim(),i(i(INSERT(),x),s0)) i(i(realu_le(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_le(),i(realu_abs(),x)),i(realu_abs(),y)) i(i(complexu_div(),i(i(complexu_mul(),a),i(cnj(),b))),i(i(complexu_pow(), i(Cx(),i(vectoru_norm(),b))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(complexu_div(),a),b) i(i(s_b_(),i(path(),p)),i(i(s_b_(),i(i(SUBSET(),i(pathu_image(),p)),s0)), i(i(a_(),i(pathfinish(),p)),i(pathstart(),p)))) -> i(i(i(homotopicu_loops(),s0),p),p) i(i(intu_lt(),i(i(intu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(intu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(intu_lt(),i(intu_abs(),x)),i(intu_abs(),y)) i(i(realu_lt(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(realu_lt(),i(realu_abs(),x)),i(realu_abs(),y)) i(i(b_s_(),i(i(a_(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(i(a_(),y),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(a_(),i(i(complexu_mul(),x),y)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(i(COND(),i(i(a_(),a),b)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(sign(),i(swap(),i(i(c_(),a),b))) i(i(a_(),i(i(intu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(intu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(a_(),i(intu_abs(),x)),i(intu_abs(),y)) i(i(a_(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_pow(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(a_(),i(realu_abs(),x)),i(realu_abs(),y)) i(i(d_(),i(i(d_(),i(i(matrixu_mul(),i(rowvector(),x)),i(columnvector(),y))), i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0()))) -> i(i(dot(),x),y) i(i(s_b_(),i(i(a_(),i(i(matrixu_vectoru_mul(),A),x)),i(vec(),i(NUMERAL(),u_0())))), i(i(IN(),x),i(span(),i(rows(),A)))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(i(COND(),i(i(l_a_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),i(dimindex(),UNIV()))),EMPTY()), i(openu_segment(),i(i(c_(),a),b))) -> i(interior(),i(openu_segment(),i(i(c_(),a),b))) i(i(i(COND(),i(i(l_a_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),i(dimindex(),UNIV()))),EMPTY()), i(openu_segment(),i(i(c_(),a),b))) -> i(interior(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(dot(),b),i(i(vectoru_sub(),x),i(i(r_(),i(i(realu_div(),i(i(dot(),b),x)),i(i(dot(),b),b))),b))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(b_s_(),i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0())))), i(i(a_(),i(i(vectoru_angle(),x),y)),pi())) -> i(i(a_(),i(sin(),i(i(vectoru_angle(),x),y))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(i(hasu_complexu_derivative(),i(i(o(),Cx()),i(i(o(),f),Re()))),i(Cx(),fi_)), i(i(within(),i(at(),i(Cx(),a))),real0())) -> i(i(i(hasu_realu_derivative(),f),fi_),i(atreal(),a)) i(i(d_(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),i(i(CONS(),z),NIL()))))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> y i(i(i(COND(),i(i(a_(),y),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(realu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(rpow(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),y) i(i(continuous(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(within(),i(at(),i(lift(),x))), i(i(IMAGE(),lift()),s0))) -> i(i(realu_continuous(),f),i(i(within(),i(atreal(),x)),s0)) i(i(s_b_(),i(i(IN(),a),i(openu_segment(),i(i(c_(),c),d)))),i(i(IN(),b), i(openu_segment(),i(i(c_(),c),d)))) -> i(i(SUBSET(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(openu_segment(),i(i(c_(),c),d))) i(i(a_(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i(closedu_segment(), i ( i(CONS(),i(i(c_(),c),d)),NIL()))) -> i(i(a_(),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))),i(i(INSERT(),c),i(i(INSERT(),d),EMPTY()))) i(i(i(i(dihV(),i(i(vectoru_add(),a),w0)),i(i(vectoru_add(),a),w1)),i(i(vectoru_add(),a),w2)), i(i(vectoru_add(),a),w3)) -> i(i(i(i(dihV(),w0),w1),w2),w3) i(i(i(i(azim(),i(i(vectoru_add(),a),v)),i(i(vectoru_add(),a),w)),i(i(vectoru_add(),a),w1)), i(i(vectoru_add(),a),w2)) -> i(i(i(i(azim(),v),w),w1),w2) i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),u_0()))),h),i(i(EL(),i(i(m_(),n),i(NUMERAL(),i(BIT1(),u_0())))), t)) -> i(i(EL(),n),i(i(CONS(),h),t)) i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(a_(),i(frac(),x)),x) i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)), i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(a_(),i(floor(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(i(COND(),i(evenperm(),p)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(sign(),p) i(i(i(COND(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(f,i(NUMERAL(),u_0()))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(product(),i(i(o_o_(),m),i(NUMERAL(),u_0()))),f) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(complexu_mul(),i(csin(),z)),i(ccos(),z))) -> i(csin(),i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),z)) i(i(i(COND(),i(i(naddu_eq(),x),i(naddu_ofu_num(),i(NUMERAL(),u_0())))), i(naddu_ofu_num(),i(NUMERAL(),u_0()))),i(mku_nadd(),i(naddu_rinv(),x))) -> i(naddu_inv(),x) i(i(realu_div(),i(sqrt(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(cos(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0()))))))) i(complex(),i(i(c_(),i(i(realu_add(),i(Re(),w)),i(Re(),z))),i(i(realu_add(),i(Im(),w)),i(Im(),z)))) -> i(i(vectoru_add(),w),z) i(i(d_(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),i(i(CONS(),z),NIL()))))), i(NUMERAL(),i(BIT1(),u_0()))) -> x i(w_(),i(i(a_(),i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(content(),i( closedu_interval(), i ( i(CONS(),i(i(c_(),a),b)),NIL())))) i(i(i(COND(),i(i(a_(),a),b)),EMPTY()),i(i(hull(),affine()),i(i(INSERT(),a), i(i(INSERT(),b),EMPTY())))) -> i(i(hull(),affine()),i(openu_segment(),i(i(c_(),a),b))) i(realu_abs(),i(i(realu_sub(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))), i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(distance(),i(i(c_(),x),y)) i(i(s_b_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(w_(), i(i(a_(),y), i ( realu_ofu_num(), i (NUMERAL(),u_0()))))) -> i(i(a_(),i(i(rpow(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(s_b_(),i(i(a_(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))), i(w_(),i(i(a_(),n),i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(complexu_pow(),x),n)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(DIFF(),i(closedu_realu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) -> i(openu_realu_segment(),i(i(c_(),a),b)) i(i(DIFF(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i ( i(INSERT(),a), i (i(INSERT(),b),EMPTY()))) -> i(openu_segment(),i(i(c_(),a),b)) i(i(DIFF(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) -> i(openu_interval(),i(i(c_(),a),b)) i(i(DIFF(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) -> i(openu_realu_interval(),i(i(c_(),a),b)) i(i(t_(),i(BIT1(),m)),i(i(t_(),i(i(EXP(),i(BIT1(),m)),n)),i(i(EXP(),i(BIT1(),m)),n))) -> i(i(EXP(),i(BIT1(),m)),i(BIT1(),n)) i(i(t_(),i(BIT0(),m)),i(i(t_(),i(i(EXP(),i(BIT0(),m)),n)),i(i(EXP(),i(BIT0(),m)),n))) -> i(i(EXP(),i(BIT0(),m)),i(BIT1(),n)) i(i(i(COND(),i(i(realu_le(),a),b)),i(openu_realu_interval(),i(i(c_(),a),b))), i(openu_realu_interval(),i(i(c_(),b),a))) -> i(openu_realu_segment(),i(i(c_(),a),b)) i(closedu_interval(),i(i(CONS(),i(i(c_(),i(i(vectoru_sub(),x),i(lift(),e))), i(i(vectoru_add(),x),i(lift(),e)))), NIL())) -> i(cball(),i(i(c_(),x),e)) i(i(t_(),i(FACT(),n)),i(i(t_(),i(FACT(),k)),i(binom(),i(i(c_(),i(i(p_(),n),k)),k)))) -> i(FACT(),i(i(p_(),n),k)) i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))), i(vec(),i(NUMERAL(),i(BIT1(),u_0()))))), NIL()))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),u_0()))),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(intu_pow(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),n) i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),u_0()))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_pow(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),n) i(i(i(m_m_m_g_(),i(i(o(),f),drop())),a),i(i(within(),i(at(),i(lift(),x))),i(i(IMAGE(),lift()),s0))) -> i(i(i(m_m_m_g_(),f),a),i(i(within(),i(atreal(),x)),s0)) i(i(i(m_m_g_(),i(i(o(),f),drop())),a),i(i(within(),i(at(),i(lift(),x))),i(i(IMAGE(),lift()),s0))) -> i(i(i(m_m_g_(),f),a),i(i(within(),i(atreal(),x)),s0)) i(i(s_b_(),i(i(continuousu_on(),f),X)),i(i(s_b_(),i(i(SUBSET(),i(i(IMAGE(),f),X)),Y)),i(P,f))) -> i(i(i(i(homotopicu_with(),P),i(i(c_(),X),Y)),f),f) i(angle(),i(i(c_(),i(i(vectoru_add(),a),b)),i(i(c_(),i(i(vectoru_add(),a),c)), i(i(vectoru_add(),a),d)))) -> i(angle(),i(i(c_(),b),i(i(c_(),c),d))) i(i(i(COND(),i(i(IN(),x),t)),i(i(DIFF(),s0),t)),i(i(INSERT(),x),i(i(DIFF(),s0),t))) -> i(i(DIFF(),i(i(INSERT(),x),s0)),t) i(i(i(COND(),i(i(IN(),x),t)),i(i(UNION(),s0),t)),i(i(INSERT(),x),i(i(UNION(),s0),t))) -> i(i(UNION(),i(i(INSERT(),x),s0)),t) i(i(i(COND(),i(i(IN(),x),t)),i(i(INSERT(),x),i(i(INTER(),s0),t))),i(i(INTER(),s0),t)) -> i(i(INTER(),i(i(INSERT(),x),s0)),t) i(i(i(COND(),i(i(a_(),x),y)),i(i(DELETE(),s0),y)),i(i(INSERT(),x),i(i(DELETE(),s0),y))) -> i(i(DELETE(),i(i(INSERT(),x),s0)),y) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),e)), i(i(IN(),y),i(cball(),i(i(c_(),x),e)))) -> i(i(limitu_pointu_of(),y),i(ball(),i(i(c_(),x),e))) i(i(complexu_div(),i(i(vectoru_add(),z),i(cnj(),z))),i(Cx(),i(realu_ofu_num(), i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))) -> i(Cx(),i(Re(),z)) i(i(s_b_(),i(orthogonalu_matrix(),Q)),i(i(a_(),i(det(),Q)),i(realu_neg(), i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))) -> i(rotoinversionu_matrix(),Q) i(i(complexu_div(),i(cnj(),z)),i(i(complexu_pow(),i(Cx(),i(vectoru_norm(),z))), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(complexu_inv(),z) i(i(realu_lt(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(realu_lt(),i(realu_abs(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(realu_le(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(realu_le(),i(realu_abs(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(i(hasu_vectoru_derivative(),i(i(o(),lift()),i(i(o(),f),drop()))),i(lift(),fi_)), i(at(),i(lift(),x))) -> i(i(i(hasu_realu_derivative(),f),fi_),i(atreal(),x)) i(i(i(COND(),i(P,h)),i(i(CONS(),h),i(i(FILTER(),P),t))),i(i(FILTER(),P),t)) -> i(i(FILTER(),P),i(i(CONS(),h),t)) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(sin(),x)),i(cos(),x))) -> i(sin(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),x)) i(i(b_s_(),i(i(a_(),i(Arg(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),i(Arg(),z)),pi())) -> i(real0(),z) i(i(p_(),i(BIT1(),m)),i(i(p_(),i(BIT0(),n)),i(BIT0(),i(BIT0(),i(i(t_(),m),n))))) -> i(i(t_(),i(BIT1(),m)),i(BIT1(),n)) i(i(i(COND(),i(i(a_(),a),b)),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i ( intu_ofu_num(), i (NUMERAL(),i(BIT1(),u_0())))) -> i(affu_dim(),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) i(i(b_s_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),y), i(realu_ofu_num(), i (NUMERAL(),u_0())))) -> i(i(a_(),i(i(realu_mul(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(b_s_(),i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),y), i(intu_ofu_num(), i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(intu_mul(),x),y)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(b_s_(),i(i(a_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(a_(),x), i(vec(),i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(r_(),a),x)),i(vec(),i(NUMERAL(),u_0()))) i(i(s_b_(),i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(w_(), i(i(a_(),n),i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(intu_pow(),x),n)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(s_b_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(w_(), i(i(a_(),n),i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(realu_pow(),x),n)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(s_b_(),i(i(a_(),m),i(NUMERAL(),i(BIT1(),u_0())))),i(i(a_(),n),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(a_(),i(i(t_(),m),n)),i(NUMERAL(),i(BIT1(),u_0()))) i(i(s_b_(),i(i(faceu_of(),e),s0)),i(i(a_(),i(affu_dim(),e)),i(intu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(edgeu_of(),e),s0) i(i(a_(),i(i(vectoru_angle(),x),y)),i(i(realu_div(),pi()),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(orthogonal(),x),y) i(i(i(COND(),i(i(a_(),a),b)),EMPTY()),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(closure(),i(openu_segment(),i(i(c_(),a),b))) i(i(i(COND(),i(i(IN(),x),s0)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(drop(),i(i(indicator(),s0),x)) i(i(vectoru_add(),i(i(complexu_mul(),i(csin(),w)),i(ccos(),z))),i(i(complexu_mul(),i(ccos(),w)), i(csin(),z))) -> i(csin(),i(i(vectoru_add(),w),z)) i(i(DIFF(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))), i(openu_interval(),i(i(c_(),a),b))) -> i(frontier(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(realu_add(),i(i(realu_mul(),i(sin(),x)),i(cos(),y))),i(i(realu_mul(),i(cos(),x)),i(sin(),y))) -> i(sin(),i(i(realu_add(),x),y)) i(i(i(COND(),i(i(a_(),a),b)),i(i(INSERT(),a),EMPTY())),i(openu_segment(),i(i(c_(),a),b))) -> i(relativeu_interior(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(vectoru_sub(),i(i(complexu_mul(),i(ccos(),w)),i(ccos(),z))),i(i(complexu_mul(),i(csin(),w)), i(csin(),z))) -> i(ccos(),i(i(vectoru_add(),w),z)) i(i(s_b_(),i(i(SUBSET(),s0),i(topspace(),top))),i(i(closedu_in(),top), i(i(DIFF(),i(topspace(),top)),s0))) -> i(i(openu_in(),top),s0) i(i(realu_add(),i(i(realu_mul(),i(cos(),w)),i(cos(),z))),i(i(realu_mul(),i(sin(),w)),i(sin(),z))) -> i(cos(),i(i(realu_sub(),w),z)) i(i(s_b_(),i(i(a_(),i(Re(),w)),i(Re(),z))),i(i(a_(),i(Im(),w)),i(Im(),z))) -> i(i(a_(),w),z) i(i(vectoru_sub(),i(i(complexu_mul(),i(csin(),w)),i(ccos(),z))),i(i(complexu_mul(),i(ccos(),w)), i(csin(),z))) -> i(csin(),i(i(vectoru_sub(),w),z)) i(i(s_b_(),i(i(SUBSET(),s0),i(topspace(),top))),i(i(openu_in(),top), i(i(DIFF(),i(topspace(),top)),s0))) -> i(i(closedu_in(),top),s0) i(i(realu_sub(),i(i(realu_mul(),i(sin(),w)),i(cos(),z))),i(i(realu_mul(),i(cos(),w)),i(sin(),z))) -> i(sin(),i(i(realu_sub(),w),z)) i(i(s_b_(),i(i(a_(),i(fstcart(),x)),i(fstcart(),y))),i(i(a_(),i(sndcart(),x)),i(sndcart(),y))) -> i(i(a_(),x),y) i(i(vectoru_add(),i(i(complexu_mul(),i(ccos(),w)),i(ccos(),z))),i(i(complexu_mul(),i(csin(),w)), i(csin(),z))) -> i(ccos(),i(i(vectoru_sub(),w),z)) i(i(realu_sub(),i(i(realu_mul(),i(cos(),x)),i(cos(),y))),i(i(realu_mul(),i(sin(),x)),i(sin(),y))) -> i(cos(),i(i(realu_add(),x),y)) i(i(a_(),i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),i(drop(),b)),i(drop(),a)) i(i(a_(),i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(interior(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())))),EMPTY()) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(basis(), i(NUMERAL(), i (BIT1(),i(BIT1(),u_0()))))) -> i(basis(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(complexu_mul(),i(vectoru_neg(),ii())),i(Cx(),i(i(realu_div(),pi()), i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(clog(),i(vectoru_neg(),ii())) i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vec(),i(NUMERAL(),i(BIT1(),u_0())))), i(vec(),i(NUMERAL(),u_0())))),NIL())) -> EMPTY() i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))), i(realu_ofu_num(),i(NUMERAL(),u_0())))), NIL())) -> EMPTY() i(i(continuous(),i(i(o(),Cx()),i(i(o(),f),Re()))),i(i(within(),i(at(),i(Cx(),x))),real0())) -> i(i(realu_continuous(),f),i(atreal(),x)) i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),y), i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(dot(),x),y) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(basis(), i(NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))) -> i(vectoru_neg(),i(basis(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(d_(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),NIL())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> y i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_div(),e), i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),e) i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Arg(),z))), i(i(realu_lt(),i(Arg(),z)),pi())) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),z)) i(i(IMAGE(),mku_finiteu_sum()),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))), i(i(p_(),i(dimindex(),UNIV())),i(dimindex(),UNIV())))) -> UNIV() i(i(i(COND(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(NUMERAL(),u_0())), i(NUMERAL(),i(BIT1(),u_0()))) -> i(dim(),i(i(INSERT(),x),EMPTY())) i(i(i(COND(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(f,i(NUMERAL(),u_0()))),i(vec(),i(NUMERAL(),u_0()))) -> i(i(vsum(),i(i(o_o_(),m),i(NUMERAL(),u_0()))),f) i(i(i(COND(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(f,i(NUMERAL(),u_0()))), i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(sum(),i(i(o_o_(),m),i(NUMERAL(),u_0()))),f) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), i(i(realu_mul(),i(Re(),z)),i(Im(),z))) -> i(Im(),i(i(complexu_pow(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) i(i(realu_sub(),i(i(d_(),i(i(d_(),A),i0)),j)),i(i(d_(),i(i(d_(),B),i0)),j)) -> i(i(d_(),i(i(d_(),i(i(matrixu_sub(),A),B)),i0)),j) i(i(b_s_(),i(i(l_(),n),m)),i(i(s_b_(),i(i(l_a_(),p),m)),i(i(l_a_(),n),q))) -> i(i(SUBSET(),i(i(o_o_(),m),n)),i(i(o_o_(),p),q)) i(i(realu_add(),i(i(d_(),i(i(d_(),A),i0)),j)),i(i(d_(),i(i(d_(),B),i0)),j)) -> i(i(d_(),i(i(d_(),i(i(matrixu_add(),A),B)),i0)),j) i(measure(),i(conv0(),i(i(INSERT(),v0),i(i(INSERT(),v1),i(i(INSERT(),v2),i(i(INSERT(),v3),EMPTY())))))) -> i(i(i(i(volu_conv(),v0),v1),v2),v3) i(i(s_b_(),i(i(a_(),c1),c2)),i(i(s_b_(),i(i(a_(),i1),i2)),i(i(a_(),r1),r2))) -> i(i(a_(),i(i(i(CONSTR(),c1),i1),r1)),i(i(i(CONSTR(),c2),i2),r2)) i(i(b_s_(),i(i(a_(),x),y)),i(i(b_s_(),i(i(R,x),y)),i(i(R,y),x))) -> i(i(i(RSC(),R),x),y) i(i(a_(),i(i(IN(),x),i(i(DELETE(),s0),xi_))),i(i(IN(),xi_),i(i(DELETE(),s0),x))) -> i(i(a_(),i(i(IN(),x),s0)),i(i(IN(),xi_),s0)) i(i(i(COND(),i(i(a_(),k),i0)),j),i(i(i(COND(),i(i(a_(),k),j)),i0),k)) -> i(i(swap(),i(i(c_(),i0),j)),k) i(i(vectoru_sub(),i(i(r_(),i(i(dot(),x),z)),y)),i(i(r_(),i(i(dot(),x),y)),z)) -> i(i(cross(),x),i(i(cross(),y),z)) i(i(s_b_(),i(i(l_a_(),m),i(i(p_(),n),p))),i(i(l_a_(),n),i(i(p_(),m),p))) -> i(i(l_a_(),i(dist(),i(i(c_(),m),n))),p) i(i(i(hasu_integral(),i(i(o(),lift()),i(i(o(),f),drop()))),i(lift(),y)),i(i(IMAGE(),lift()),s0)) -> i(i(i(hasu_realu_integral(),f),y),s0) i(i(between(),i(i(vectoru_add(),a),x)),i(i(c_(),i(i(vectoru_add(),a),y)),i(i(vectoru_add(),a),z))) -> i(i(between(),x),i(i(c_(),y),z)) i(i(IN(),i(vectoru_neg(),x)),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vectoru_neg(),b)), i(vectoru_neg(),a))), NIL()))) -> i(i(IN(),x),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(s_b_(),i(orthogonalu_matrix(),Q)),i(i(a_(),i(det(),Q)),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))) -> i(rotationu_matrix(),Q) i(i(i(COND(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(i(INSERT(),i(NUMERAL(),u_0())),EMPTY())),EMPTY()) -> i(i(o_o_(),m),i(NUMERAL(),u_0())) i(i(b_s_(),i(affineu_dependent(),s0)),i(i(IN(),i(vec(),i(NUMERAL(),u_0()))), i(i(hull(),affine()),s0))) -> i(dependent(),s0) i(i(s_b_(),i(w_(),i(i(a_(),s0),EMPTY()))),i(i(s_b_(),i(convex(),s0)),i(conic(),s0))) -> i(convexu_cone(),s0) i(i(s_b_(),i(i(a_a_g_(),c),i(P,x))),i(i(a_a_g_(),i(w_(),c)),i(P,y))) -> i(P,i(i(i(COND(),c),x),y)) i(i(realu_div(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(realu_ofu_num(), i ( NUMERAL(), i (BIT0(),i(BIT1(),u_0()))))) -> i(sin(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0()))))))) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT1(),u_0())))),i(basis(),i(NUMERAL(), i(BIT1(),i(BIT1(),u_0()))))) -> i(vectoru_neg(),i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(basis(), i(NUMERAL(),i(BIT1(),u_0())))) -> i(vectoru_neg(),i(basis(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))) i(cos(),i(i(realu_sub(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), x)) -> i(sin(),x) i(sin(),i(i(realu_sub(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), x)) -> i(cos(),x) i(tan(),i(i(realu_sub(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0())))))), x)) -> i(realu_inv(),i(tan(),x)) i(trivialu_limit(),i(i(within(),i(at(),i(Cx(),x))),i(i(INTER(),real0()),i(i(IMAGE(),Cx()),s0)))) -> i(trivialu_limit(),i(i(within(),i(atreal(),x)),s0)) i(measure(),i(cball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))) -> pi() i(i(i(COND(),i(i(a_(),i(FST(),h)),a)),i(SND(),h)),i(i(ASSOC(),a),t)) -> i(i(ASSOC(),a),i(i(CONS(),h),t)) i(i(d_(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),NIL())))),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(complexu_mul(),i(Cx(),i(exp(),r))),i(complex(),i(i(c_(),i(cos(),t)),i(sin(),t)))) -> i(cexp(),i(complex(),i(i(c_(),r),t))) i(i(realu_mul(),i(vectoru_norm(),x)),i(i(realu_mul(),i(vectoru_norm(),y)), i(cos(),i(i(vectoru_angle(),x),y)))) -> i(i(dot(),x),y) i(i(s_b_(),i(i(l_(),n),m)),i(w_(),i(i(a_(),i(ODD(),m)),i(ODD(),n)))) -> i(ODD(),i(i(m_(),m),n)) i(collinear(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),x),i(i(INSERT(),y),EMPTY())))) -> i(i(a_(),i(i(cross(),x),y)),i(vec(),i(NUMERAL(),u_0()))) i(i(s_b_(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(w_(),i(i(a_(),n),i(NUMERAL(),u_0())))) -> i(i(a_(),i(i(EXP(),m),n)),i(NUMERAL(),u_0())) i(i(realu_mul(),i(vectoru_norm(),x)),i(i(realu_mul(),i(vectoru_norm(),y)), i(sin(),i(i(vectoru_angle(),x),y)))) -> i(vectoru_norm(),i(i(cross(),x),y)) i(openu_interval(),i(i(c_(),i(i(vectoru_sub(),x),i(lift(),e))),i(i(vectoru_add(),x),i(lift(),e)))) -> i(ball(),i(i(c_(),x),e)) i(i(UNION(),i(openu_segment(),i(i(c_(),a),b))),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(IMAGE(),lift()),i(closedu_realu_segment(),i(i(CONS(),i(i(c_(),i(drop(),a)),i(drop(),b))),NIL()))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(b_s_(),i(w_(),i(i(a_(),x),i(NUMERAL(),u_0())))),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(l_(),i(NUMERAL(),u_0())),i(i(EXP(),x),n)) i(i(b_s_(),i(i(a_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(a_(),i(i(EXP(),x),n)),i(NUMERAL(),i(BIT1(),u_0()))) i(i(IMAGE(),drop()),i(closedu_segment(),i(i(CONS(),i(i(c_(),i(lift(),a)),i(lift(),b))),NIL()))) -> i(closedu_realu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(i(COND(),i(EVEN(),n)),i(i(complexu_pow(),x),n)),i(vectoru_neg(),i(i(complexu_pow(),x),n))) -> i(i(complexu_pow(),i(vectoru_neg(),x)),n) i(i(p_(),i(binom(),i(i(c_(),n),i(SUC(),k)))),i(binom(),i(i(c_(),n),k))) -> i(binom(),i(i(c_(),i(SUC(),n)),i(SUC(),k))) i(i(i(COND(),i(EVEN(),n)),i(i(intu_pow(),x),n)),i(intu_neg(),i(i(intu_pow(),x),n))) -> i(i(intu_pow(),i(intu_neg(),x)),n) i(i(i(COND(),i(EVEN(),n)),i(i(realu_pow(),x),n)),i(realu_neg(),i(i(realu_pow(),x),n))) -> i(i(realu_pow(),i(realu_neg(),x)),n) i(i(a_(),s0),i(i(INSERT(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL()))),EMPTY())) -> i(i(divisionu_of(),s0),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL()))) i(i(vectoru_add(),x),i(i(complexu_mul(),i(Cx(),i(realu_neg(),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))), y)) -> i(i(vectoru_sub(),x),y) i(i(a_(),i(vectoru_norm(),i(i(vectoru_add(),x),y))),i(i(realu_add(),i(vectoru_norm(),x)), i(vectoru_norm(),y))) -> i(i(a_(),i(i(r_(),i(vectoru_norm(),x)),y)),i(i(r_(),i(vectoru_norm(),y)),x)) i(i(r_(),i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))), i(i(vectoru_add(),a),b)) -> i(midpoint(),i(i(c_(),a),b)) i(i(complexu_mul(),i(i(complexu_pow(),i(vectoru_neg(),i(Cx(),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))), n)),z) -> i(i(rotate2d(),i(i(realu_mul(),i(realu_ofu_num(),n)),pi())),z) i(i(complexu_mul(),ii()),i(Cx(),i(i(realu_div(),pi()),i(realu_ofu_num(), i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(clog(),ii()) i(i(i(m_m_g_(),i(i(o(),f),Re())),a),i(i(within(),i(at(),i(Cx(),x))),real0())) -> i(i(i(m_m_g_(),f),a),i(atreal(),x)) i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),u_0()))),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),u_0())) -> i(i(EXP(),i(NUMERAL(),u_0())),n) i(i(i(COND(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(f,i(NUMERAL(),u_0()))),i(NUMERAL(),u_0())) -> i(i(nsum(),i(i(o_o_(),m),i(NUMERAL(),u_0()))),f) i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),i(basis(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))) -> i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(basis(), i(NUMERAL(),i(BIT1(),u_0())))) -> i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(cross(),i(basis(),i(NUMERAL(),i(BIT1(),u_0())))),i(basis(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))) -> i(basis(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))) i(i(i(f,h1),i(HD(),l2)),i(i(i(i(ITLIST2(),f),t1),i(TL(),l2)),b)) -> i(i(i(i(ITLIST2(),f),i(i(CONS(),h1),t1)),l2),b) i(i(IMAGE(),drop()),i(closedu_interval(),i(i(CONS(),i(i(c_(),i(lift(),a)),i(lift(),b))),NIL()))) -> i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(IMAGE(),lift()),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),i(drop(),a)),i(drop(),b))), NIL()))) -> i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),i(basis(),i(NUMERAL(), i(BIT1(),i(BIT1(),u_0()))))) -> i(vec(),i(NUMERAL(),u_0())) i(sin(),i(i(realu_add(),x),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), pi()))) -> i(sin(),x) i(cos(),i(i(realu_add(),x),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))), pi()))) -> i(cos(),x) i(i(a_(),i(i(MOD(),n),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))) -> i(ODD(),n) i(i(CONS(),i(i(f,h1),i(HD(),l))),i(i(i(MAP2(),f),t1),i(TL(),l))) -> i(i(i(MAP2(),f),i(i(CONS(),h1),t1)),l) i(i(s_b_(),i(i(IN(),x),s0)),i(w_(),i(i(a_(),i(f,x)),i(neutral(),op)))) -> i(i(IN(),x),i(i(i(support(),op),f),s0)) i(i(i(arcV(),i(i(vectoru_add(),a),b)),i(i(vectoru_add(),a),c)),i(i(vectoru_add(),a),d)) -> i(i(i(arcV(),b),c),d) i(i(i(COND(),i(i(l_(),m),k)),i(i(o_o_(),k),n)),i(i(o_o_(),m),n)) -> i(i(INTER(),i(from(),k)),i(i(o_o_(),m),n)) i(i(matrixu_vectoru_mul(),i(transp(),A)),i(i(cross(),i(i(matrixu_vectoru_mul(),A),x)), i(i(matrixu_vectoru_mul(),A),y))) -> i(i(r_(),i(det(),A)),i(i(cross(),x),y)) i(i(equiintegrableu_on(),i(i(INSERT(),f),EMPTY())),i(closedu_interval(), i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(integrableu_on(),f),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) i(i(i(homotopicu_loops(),s0),i(linepath(),i(i(c_(),a),a))),i(linepath(),i(i(c_(),b),b))) -> i(i(i(pathu_component(),s0),a),b) i(i(i(i(dihV(),i(vec(),i(NUMERAL(),u_0()))),i(vectoru_neg(),v1)),i(vectoru_neg(),v2)), i(vectoru_neg(),v3)) -> i(i(i(i(dihV(),i(vec(),i(NUMERAL(),u_0()))),v1),v2),v3) i(i(a_(),i(realu_sgn(),x)),i(realu_ofu_int(),i(intu_neg(),i(intu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0())))))) -> i(i(realu_lt(),x),i(realu_ofu_int(),i(intu_ofu_num(),i(NUMERAL(),u_0())))) i(w_(),i(i(IN(),i0),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(dimindex(),UNIV())))) -> i(i(a_(),i(basis(),i0)),i(vec(),i(NUMERAL(),u_0()))) i(i(a_(),i(i(matrixu_mul(),A),i(transp(),A))),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(orthogonalu_matrix(),A) i(i(s_b_(),i(real0(),z)),i(i(realu_lt(),i(Re(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),i(Arg(),z)),pi()) i(i(s_b_(),i(simpleu_path(),g)),i(w_(),i(i(a_(),i(pathfinish(),g)),i(pathstart(),g)))) -> i(arc(),g) i(i(vectoru_add(),i(Cx(),i(Re(),z))),i(i(complexu_mul(),ii()),i(Cx(),i(Im(),z)))) -> z i(i(continuous(),i(i(o(),lift()),i(i(o(),f),drop()))),i(at(),i(lift(),x))) -> i(i(realu_continuous(),f),i(atreal(),x)) i(i(s_b_(),i(real0(),z)),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),z))) -> i(i(a_(),i(Arg(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(hull(),conic()),i(i(hull(),convex()),s0))) -> i(i(hull(),convexu_cone()),s0) i(i(DIFF(),i(i(DIFF(),UNIV()),i(interior(),s0))),i(interior(),i(i(DIFF(),UNIV()),s0))) -> i(frontier(),s0) i(i(i(COND(),i(i(l_a_(),n),m)),i(BIT1(),i(i(m_(),m),n))),u_0()) -> i(i(m_(),i(BIT1(),m)),i(BIT0(),n)) i(complex(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_ofu_num(), i(NUMERAL(),i(BIT1(),u_0()))))) -> ii() i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)),x),i(realu_neg(),x)) -> i(realu_abs(),x) i(i(absolutelyu_integrableu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(absolutelyu_realu_integrableu_on(),f),s0) i(i(integrableu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(realu_integrableu_on(),f),s0) i(i(i(subpath(),i(vec(),i(NUMERAL(),i(BIT1(),u_0())))),i(vec(),i(NUMERAL(),u_0()))),g) -> i(reversepath(),g) i(i(rotate2d(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),z) -> i(i(complexu_mul(),ii()),z) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_mul(),a),i(cnj(),b)))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_div(),a),b))) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(i(complexu_mul(),a),i(cnj(),b)))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(i(complexu_div(),a),b))) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(i(complexu_mul(),a),i(cnj(),b)))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(i(complexu_div(),a),b))) i(i(s_b_(),i(i(IN(),x),s0)),i(w_(),i(i(a_(),x),i(CHOICE(),s0)))) -> i(i(IN(),x),i(REST(),s0)) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_mul(),a),i(cnj(),b)))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_div(),a),b))) i(i(vectoru_variation(),i(i(IMAGE(),lift()),s0)),i(i(o(),lift()),i(i(o(),f),drop()))) -> i(i(realu_variation(),s0),f) i(i(s_b_(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(a_(),i(i(p_(),m),n)),i(NUMERAL(),u_0())) i(i(realu_le(),i(Im(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),i(Im(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_lt(),i(Re(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_lt(),i(Re(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Re(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Re(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(b_s_(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(a_(),i(i(t_(),m),n)),i(NUMERAL(),u_0())) i(i(realu_le(),i(Re(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),i(Re(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_lt(),i(Im(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_lt(),i(Im(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Im(),i(i(complexu_mul(),a),i(cnj(),b)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Im(),i(i(complexu_div(),a),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(b_s_(),i(i(l_a_(),m),n)),i(i(a_(),i(EVEN(),m)),i(EVEN(),n))) -> i(EVEN(),i(i(m_(),m),n)) i(i(s_b_(),i(i(SUBSET(),s0),i(span(),t))),i(i(SUBSET(),t),i(span(),s0))) -> i(i(a_(),i(span(),s0)),i(span(),t)) i(i(t_(),i(i(EXP(),i(BIT1(),m)),n)),i(i(EXP(),i(BIT1(),m)),n)) -> i(i(EXP(),i(BIT1(),m)),i(BIT0(),n)) i(i(t_(),i(i(EXP(),i(BIT0(),m)),n)),i(i(EXP(),i(BIT0(),m)),n)) -> i(i(EXP(),i(BIT0(),m)),i(BIT0(),n)) i(i(continuousu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(realu_continuousu_on(),f),s0) i(i(uniformlyu_continuousu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(realu_uniformlyu_continuousu_on(),f),s0) i(w_(),i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY())) -> i(i(realu_le(),i(drop(),a)),i(drop(),b)) i(i(hasu_boundedu_variationu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(hasu_boundedu_realu_variationu_on(),f),s0) i(i(measurableu_on(),i(i(o(),Cx()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(realu_measurableu_on(),f),s0) i(i(s_b_(),i(i(l_(),i(NUMERAL(),u_0())),m)),i(i(l_(),i(NUMERAL(),u_0())),n)) -> i(i(l_(),i(NUMERAL(),u_0())),i(i(t_(),m),n)) i(i(IN(),i(midpoint(),i(i(c_(),a),b))),i(openu_segment(),i(i(c_(),a),b))) -> i(w_(),i(i(a_(),a),b)) i(i(realu_add(),x),i(i(realu_mul(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))), y)) -> i(i(realu_sub(),x),y) i(i(measurableu_on(),i(i(o(),lift()),i(i(o(),f),drop()))),i(i(IMAGE(),lift()),s0)) -> i(i(realu_measurableu_on(),f),s0) i(i(IN(),v),i(cball(),i(i(c_(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),r))) -> i(i(realu_le(),i(vectoru_norm(),v)),r) i(w_(),i(i(a_(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY())) -> i(i(realu_le(),a),b) i(i(IN(),v),i(ball(),i(i(c_(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),r))) -> i(i(realu_lt(),i(vectoru_norm(),v)),r) i(i(vsum(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),u_0())))),f) -> i(f,i(NUMERAL(),i(BIT1(),u_0()))) i(tan(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(dropout(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))),i(basis(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(basis(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(product(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),u_0())))),f) -> i(f,i(NUMERAL(),i(BIT1(),u_0()))) i(i(sum(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),i(BIT1(),u_0())))),f) -> i(f,i(NUMERAL(),i(BIT1(),u_0()))) i(i(i(COND(),i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)),x),i(intu_neg(),x)) -> i(intu_abs(),x) i(vectoru_neg(),i(Cx(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(), i(BIT0(),i(BIT1(),u_0()))))))) -> i(casn(),i(vectoru_neg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))) i(i(a_(),i(i(MOD(),n),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),u_0())) -> i(EVEN(),n) i(i(a_(),i(i(matrixu_mul(),i(transp(),Q)),Q)),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(orthogonalu_matrix(),Q) i(i(rotate2d(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),pi())),z) -> z i(i(i(subpath(),i(vec(),i(NUMERAL(),u_0()))),i(vec(),i(NUMERAL(),i(BIT1(),u_0())))),g) -> g i(closedu_interval(),i(i(CONS(),i(i(c_(),i(vectoru_neg(),i(lift(),e))),i(lift(),e))),NIL())) -> i(cball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),e)) i(i(o(),i(swap(),i(i(c_(),a),b))),i(swap(),i(i(c_(),a),b))) -> I() i(i(a_(),i(i(realu_pow(),i(sqrt(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),x) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0()))) -> i(det(),A) i(i(i(COND(),i(i(a_(),t),NIL())),NIL()),i(i(CONS(),h),i(BUTLAST(),t))) -> i(BUTLAST(),i(i(CONS(),h),t)) i(i(CONS(),i(i(c_(),h1),i(HD(),l2))),i(i(ZIP(),t1),i(TL(),l2))) -> i(i(ZIP(),i(i(CONS(),h1),t1)),l2) i(coplanar(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),i(vectoru_neg(),x)),s0))) -> i(coplanar(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),x),s0))) i(i(i(hasu_realu_integral(),f),y),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(i(hasu_realu_integral(),f),y),i(openu_realu_interval(),i(i(c_(),a),b))) i(i(i(i(dihV(),i(vectoru_neg(),v0)),i(vectoru_neg(),v1)),i(vectoru_neg(),v2)),i(vectoru_neg(),v3)) -> i(i(i(i(dihV(),v0),v1),v2),v3) i(i(a_(),i(cos(),i(i(vectoru_angle(),u),v))),i(cos(),i(i(vectoru_angle(),x),y))) -> i(i(a_(),i(i(vectoru_angle(),u),v)),i(i(vectoru_angle(),x),y)) i(i(i(hasu_integral(),f),y),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(i(hasu_integral(),f),y),i(openu_interval(),i(i(c_(),a),b))) i(i(INJP(),i(INJN(),i(SUC(),c))),i(i(INJP(),i(INJA(),i0)),i(INJF(),r))) -> i(i(i(ZCONSTR(),c),i0),r) i(i(a_(),i(i(hull(),P),i(i(INSERT(),a),s0))),i(i(hull(),P),s0)) -> i(i(IN(),a),i(i(hull(),P),s0)) i(i(DIFF(),i(i(i(support(),op),f),s0)),i(i(i(support(),op),f),t)) -> i(i(i(support(),op),f),i(i(DIFF(),s0),t)) i(i(INTER(),i(i(i(support(),op),f),s0)),i(i(i(support(),op),f),t)) -> i(i(i(support(),op),f),i(i(INTER(),s0),t)) i(i(UNION(),i(i(i(support(),op),f),s0)),i(i(i(support(),op),f),t)) -> i(i(i(support(),op),f),i(i(UNION(),s0),t)) i(i(UNION(),i(ball(),i(i(c_(),a),r))),i(ball(),i(i(c_(),a),s0))) -> i(ball(),i(i(c_(),a),i(i(realu_max(),r),s0))) i(i(INTER(),i(ball(),i(i(c_(),a),r))),i(ball(),i(i(c_(),a),s0))) -> i(ball(),i(i(c_(),a),i(i(realu_min(),r),s0))) i(i(s_b_(),i(i(integrableu_on(),f),s0)),i(i(a_(),i(i(integral(),s0),f)),i0)) -> i(i(i(hasu_integral(),f),i0),s0) i(i(s_b_(),i(i(i(INJ(),f),s0),t)),i(i(i(SURJ(),f),s0),t)) -> i(i(i(BIJ(),f),s0),t) i(i(hull(),P),i(i(UNION(),i(i(hull(),P),s0)),i(i(hull(),P),t))) -> i(i(hull(),P),i(i(UNION(),s0),t)) i(i(IN(),x),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY())))) -> i(i(between(),x),i(i(c_(),a),b)) i(det(),i(vector(),i(i(CONS(),x),i(i(CONS(),y),i(i(CONS(),z),NIL()))))) -> i(i(dot(),x),i(i(cross(),y),z)) i(i(s_b_(),i(i(realu_integrableu_on(),f),s0)),i(i(a_(),i(i(realu_integral(),s0),f)),i0)) -> i(i(i(hasu_realu_integral(),f),i0),s0) i(i(s_b_(),i(i(a_(),x),i(vec(),n))),i(i(a_(),y),i(vec(),n))) -> i(i(a_(),i(i(pastecart(),x),y)),i(vec(),n)) i(i(s_b_(),i(l,i(i(c_(),x),y))),i(w_(),i(i(a_(),x),y))) -> i(i(less(),l),i(i(c_(),x),y)) i(i(IN(),i(vectoru_neg(),x)),i(openu_interval(),i(i(c_(),i(vectoru_neg(),b)),i(vectoru_neg(),a)))) -> i(i(IN(),x),i(openu_interval(),i(i(c_(),a),b))) i(i(s_b_(),i(i(i(kle(),n),x),y)),i(i(i(kle(),n),y),x)) -> i(i(a_(),x),y) i(i(a_(),i(complexu_inv(),x)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(a_(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) i(i(a_(),i(realu_sgn(),x)),i(realu_ofu_int(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(realu_gt(),x),i(realu_ofu_int(),i(intu_ofu_num(),i(NUMERAL(),u_0())))) i(i(a_(),i(i(dot(),x),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(a_(),i(vectoru_norm(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(i(m_m_g_(),i(i(o(),f),drop())),a),i(at(),i(lift(),x))) -> i(i(i(m_m_g_(),f),a),i(atreal(),x)) i(i(i(m_m_m_g_(),i(i(o(),f),drop())),a),i(at(),i(lift(),x))) -> i(i(i(m_m_m_g_(),f),a),i(atreal(),x)) i(i(a_(),i(affu_dim(),s0)),i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(a_(),s0),EMPTY()) i(i(IMAGE(),drop()),i(openu_interval(),i(i(c_(),i(lift(),a)),i(lift(),b)))) -> i(openu_realu_interval(),i(i(c_(),a),b)) i(i(i(COND(),i(i(a_(),n),u_0())),u_0()),i(BIT1(),i(PRE(),n))) -> i(PRE(),i(BIT0(),n)) i(complex(),i(i(c_(),i(realu_neg(),i(Re(),z))),i(realu_neg(),i(Im(),z)))) -> i(vectoru_neg(),z) i(i(IMAGE(),lift()),i(openu_realu_interval(),i(i(c_(),i(drop(),a)),i(drop(),b)))) -> i(openu_interval(),i(i(c_(),a),b)) i(i(s_b_(),i(i(ALL(),i(r,h)),t)),i(i(PAIRWISE(),r),t)) -> i(i(PAIRWISE(),r),i(i(CONS(),h),t)) i(i(complexu_mul(),i(Cx(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))),x) -> i(vectoru_neg(),x) i(i(complexu_mul(),i(vectoru_neg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))),x) -> i(vectoru_neg(),x) i(i(d_(),i(vector(),i(i(CONS(),x),NIL()))),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(p_(),i(BIT0(),n)),i(BIT0(),i(BIT0(),i(i(t_(),m),n)))) -> i(i(t_(),i(BIT1(),m)),i(BIT0(),n)) i(i(p_(),i(BIT0(),m)),i(BIT0(),i(BIT0(),i(i(t_(),m),n)))) -> i(i(t_(),i(BIT0(),m)),i(BIT1(),n)) i(i(a_(),i(i(rotate2d(),t),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(IMAGE(),lift()),i(openu_realu_segment(),i(i(c_(),i(drop(),a)),i(drop(),b)))) -> i(openu_segment(),i(i(c_(),a),b)) i(i(intu_ge(),x),i(i(intu_add(),y),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(intu_gt(),x),y) i(i(s_b_(),i(EVEN(),m)),i(w_(),i(i(a_(),n),i(NUMERAL(),u_0())))) -> i(EVEN(),i(i(EXP(),m),n)) i(i(IMAGE(),drop()),i(openu_segment(),i(i(c_(),i(lift(),a)),i(lift(),b)))) -> i(openu_realu_segment(),i(i(c_(),a),b)) i(i(a_(),i(i(cpow(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),w),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(hull(),affine()),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(hull(),affine()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) i(i(a_(),i(cball(),i(i(c_(),x),e))),i(i(INSERT(),x),EMPTY())) -> i(i(a_(),e),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(distance(),i(i(c_(),x),y))) -> i(w_(),i(i(a_(),x),y)) i(i(s_b_(),i(i(intu_le(),x),y)),i(w_(),i(i(a_(),x),y))) -> i(i(intu_lt(),x),y) i(i(s_b_(),i(i(l_a_u_c(),s0),t)),i(w_(),i(i(l_a_u_c(),t),s0))) -> i(i(l_u_c(),s0),t) i(i(s_b_(),i(i(l_a_u_c(),s0),t)),i(w_(),i(i(a_u_c(),s0),t))) -> i(i(l_u_c(),s0),t) i(i(s_b_(),i(i(l_a_(),m),n)),i(w_(),i(i(a_(),m),n))) -> i(i(l_(),m),n) i(i(s_b_(),i(i(realu_le(),x),y)),i(w_(),i(i(a_(),x),y))) -> i(i(realu_lt(),x),y) i(i(s_b_(),i(i(SUBSET(),s0),t)),i(w_(),i(i(a_(),s0),t))) -> i(i(PSUBSET(),s0),t) i(i(integral(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL()))),f) -> i(vec(),i(NUMERAL(),u_0())) i(i(realu_integral(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL()))),f) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(s_b_(),i(i(realu_le(),i(realu_neg(),k)),x)),i(i(realu_le(),x),k)) -> i(i(realu_le(),i(realu_abs(),x)),k) i(i(b_s_(),i(i(a_(),m),i(SUC(),n))),i(i(l_a_(),m),n)) -> i(i(l_a_(),m),i(SUC(),n)) i(i(a_(),i(i(vectoru_add(),x),y)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),y),i(vectoru_neg(),x)) i(i(i(m_m_g_(),f),i(f,x)),i(i(within(),i(at(),x)),s0)) -> i(i(continuous(),f),i(i(within(),i(at(),x)),s0)) i(i(i(COND(),i(i(a_(),l),NIL())),i(HD(),m)),i(HD(),l)) -> i(HD(),i(i(APPEND(),l),m)) i(i(b_s_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(real0(),z)) -> i(real0(),i(i(complexu_mul(),i(Cx(),x)),z)) i(i(IMAGE(),i(scale(),t)),i(i(normball(),i(vec(),i(NUMERAL(),u_0()))),r)) -> i(i(ellipsoid(),t),r) i(i(i(COND(),i(i(a_(),q),NIL())),i(LAST(),p)),i(LAST(),q)) -> i(LAST(),i(i(APPEND(),p),q)) i(i(a_(),i(i(vectoru_add(),x),y)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),x),i(vectoru_neg(),y)) i(setdist(),i(i(c_(),i(i(INSERT(),x),EMPTY())),i(i(INSERT(),y),EMPTY()))) -> i(distance(),i(i(c_(),x),y)) i(i(realu_mul(),i(exp(),i(i(realu_add(),x),y))),i(exp(),i(realu_neg(),x))) -> i(exp(),y) i(i(IN(),x),i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),e))) -> i(i(realu_lt(),i(vectoru_norm(),x)),e) i(i(s_b_(),i(i(intu_le(),i(intu_neg(),k)),x)),i(i(intu_le(),x),k)) -> i(i(intu_le(),i(intu_abs(),x)),k) i(i(s_b_(),i(i(intu_lt(),i(intu_neg(),k)),x)),i(i(intu_lt(),x),k)) -> i(i(intu_lt(),i(intu_abs(),x)),k) i(i(IN(),x),i(cball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),e))) -> i(i(realu_le(),i(vectoru_norm(),x)),e) i(i(s_b_(),i(i(realu_lt(),i(realu_neg(),k)),x)),i(i(realu_lt(),x),k)) -> i(i(realu_lt(),i(realu_abs(),x)),k) i(i(intu_le(),i(i(intu_add(),x),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),y) -> i(i(intu_lt(),x),y) i(i(a_(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY()) -> i(i(realu_lt(),b),a) i(sin(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(a_(),i(distance(),i(i(c_(),x),y))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),y) i(i(realu_le(),i(distance(),i(i(c_(),x),y))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),y) i(i(complexu_mul(),i(cexp(),i(i(vectoru_add(),w),z))),i(cexp(),i(vectoru_neg(),z))) -> i(cexp(),w) i(i(a_(),i(i(vectoru_sub(),x),y)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),x),y) i(Cx(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(casn(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) i(Cx(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(cacs(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))) -> i(atn(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(realu_neg(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(asn(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) i(i(IMAGE(),finiteu_index()),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(dimindex(),UNIV()))) -> UNIV() i(i(i(COND(),b),i(i(d_(),x),i0)),i(i(d_(),y),i0)) -> i(i(d_(),i(i(i(COND(),b),x),y)),i0) i(cos(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(a_(),i(sin(),i(i(realu_mul(),n),pi()))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(integer(),n) i(i(a_(),i(realu_sgn(),x)),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(trivialu_limit(),i(i(within(),i(at(),i(lift(),x))),i(i(IMAGE(),lift()),s0))) -> i(trivialu_limit(),i(i(within(),i(atreal(),x)),s0)) i(angle(),i(i(c_(),x),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),y))) -> i(i(vectoru_angle(),x),y) i(i(s_b_(),i(i(i(netord(),n),x),y)),i(i(IN(),x),s0)) -> i(i(i(netord(),i(i(within(),n),s0)),x),y) i(i(i(i(i(frustum(),v0),v1),i(realu_ofu_num(),i(NUMERAL(),u_0()))),h),a) -> i(i(i(i(frustt(),v0),v1),h),a) i(i(INTER(),i(i(normball(),v0),r)),i(i(i(rconeu_gt(),v0),v1),a)) -> i(i(i(i(conicu_cap(),v0),v1),r),a) i(i(i(m_m_m_g_(),f),i(f,x)),i(i(within(),i(at(),x)),s0)) -> i(i(realu_continuous(),f),i(i(within(),i(at(),x)),s0)) i(distance(),i(i(c_(),i(i(pastecart(),x),y)),i(i(pastecart(),x),yi_))) -> i(distance(),i(i(c_(),y),yi_)) i(distance(),i(i(c_(),i(i(pastecart(),x),y)),i(i(pastecart(),xi_),y))) -> i(distance(),i(i(c_(),x),xi_)) i(distance(),i(i(c_(),i(i(r_(),c),x)),i(i(r_(),c),y))) -> i(i(realu_mul(),i(realu_abs(),c)),i(distance(),i(i(c_(),x),y))) i(dist(),i(i(c_(),i(i(p_(),m),n)),i(i(p_(),m),p))) -> i(dist(),i(i(c_(),n),p)) i(i(integrableu_on(),f),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(integrableu_on(),f),i(openu_interval(),i(i(c_(),a),b))) i(i(s_b_(),i(i(IN(),x),s0)),i(w_(),i(i(a_(),x),y))) -> i(i(IN(),x),i(i(DELETE(),s0),y)) i(i(s_b_(),i(i(IN(),x),s0)),i(w_(),i(i(IN(),x),t))) -> i(i(IN(),x),i(i(DIFF(),s0),t)) i(i(IMAGE(),f),i(i(i(support(),op),i(i(o(),g),f)),s0)) -> i(i(i(support(),op),g),i(i(IMAGE(),f),s0)) i(i(realu_integrableu_on(),f),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(realu_integrableu_on(),f),i(openu_realu_interval(),i(i(c_(),a),b))) i(dist(),i(i(c_(),i(i(p_(),m),p)),i(i(p_(),n),p))) -> i(dist(),i(i(c_(),m),n)) i(i(IMAGE(),g),i(closedu_segment(),i(i(CONS(),i(i(c_(),u),v)),NIL()))) -> i(pathu_image(),i(i(i(subpath(),u),v),g)) i(i(i(m_m_m_g_(),f),i(f,x)),i(i(within(),i(atreal(),x)),s0)) -> i(i(realu_continuous(),f),i(i(within(),i(atreal(),x)),s0)) i(dist(),i(i(c_(),i(i(t_(),m),n)),i(i(t_(),m),p))) -> i(i(t_(),m),i(dist(),i(i(c_(),n),p))) i(i(s_b_(),i(w_(),i(i(IN(),x),s0))),i(i(SUBSET(),s0),t)) -> i(i(SUBSET(),s0),i(i(DELETE(),t),x)) i(i(b_s_(),i(i(R,a0),a1)),i(i(i(SC(),R),a1),a0)) -> i(i(i(SC(),R),a0),a1) i(i(i(a_a_(),i(intu_ofu_num(),x)),i(intu_ofu_num(),y)),i(intu_mod(),i(intu_ofu_num(),n))) -> i(i(i(a_a_(),x),y),i(numu_mod(),n)) i(dist(),i(i(c_(),i(i(t_(),m),p)),i(i(t_(),n),p))) -> i(i(t_(),i(dist(),i(i(c_(),m),n))),p) i(i(i(m_m_g_(),f),i(f,x)),i(i(within(),i(atreal(),x)),s0)) -> i(i(continuous(),f),i(i(within(),i(atreal(),x)),s0)) i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(between(),x),i(i(c_(),a),b)) i(i(s_b_(),i(i(DISJOINT(),s0),t)),i(w_(),i(i(IN(),x),t))) -> i(i(DISJOINT(),i(i(INSERT(),x),s0)),t) i(i(s_b_(),i(i(b_s_(),i(w_(),b)),t1)),i(i(b_s_(),b),t2)) -> i(i(i(COND(),b),t1),t2) i(i(integral(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),f) -> i(i(integral(),i(openu_interval(),i(i(c_(),a),b))),f) i(i(realu_integral(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),f) -> i(i(realu_integral(),i(openu_realu_interval(),i(i(c_(),a),b))),f) i(w_(),i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(vectoru_norm(),z)) i(i(a_(),n),i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(i(simplex(),n),EMPTY()) i(i(complexu_pow(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),n) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(cpow(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),z) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(w_(),i(i(a_(),i(Arg(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Arg(),z)) i(i(a_(),i(complexu_inv(),x)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(intu_pow(),i(intu_abs(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> i(i(intu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(i(intu_le(),i(affu_dim(),s0)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(collinear(),s0) i(i(a_(),i(cnj(),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(realu_pow(),i(realu_abs(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) i(w_(),i(i(a_(),i(det(),A)),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(invertible(),A) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(dot(),x),x)) -> i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))) i(i(a_(),i(vectoru_neg(),x)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(a_(),i(realu_inv(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(a_(),i(csqrt(),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(a_(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),x)) -> i(w_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))) i(complex(),i(i(c_(),i(Re(),z)),i(realu_neg(),i(Im(),z)))) -> i(cnj(),z) i(i(simplex(),i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),s0) -> i(i(a_(),s0),EMPTY()) i(i(affu_ge(),i(i(INSERT(),x),EMPTY())),i(i(INSERT(),x),EMPTY())) -> i(i(INSERT(),x),EMPTY()) i(i(i(hasu_integral(),i(indicator(),s0)),i(vec(),i(NUMERAL(),u_0()))),UNIV()) -> i(negligible(),s0) i(i(hull(),convexu_cone()),i(i(UNION(),s0),i(i(IMAGE(),vectoru_neg()),s0))) -> i(span(),s0) i(i(realu_mul(),i(exp(),i(Re(),z))),i(cos(),i(Im(),z))) -> i(Re(),i(cexp(),z)) i(i(vectoru_add(),i(ccos(),z)),i(i(complexu_mul(),ii()),i(csin(),z))) -> i(cexp(),i(i(complexu_mul(),ii()),z)) i(i(INTER(),i(closure(),s0)),i(closure(),i(i(DIFF(),UNIV()),s0))) -> i(frontier(),s0) i(i(realu_mul(),i(exp(),i(Re(),z))),i(sin(),i(Im(),z))) -> i(Im(),i(cexp(),z)) i(i(realu_pow(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),n) -> i(cos(),i(i(realu_mul(),i(realu_ofu_num(),n)),pi())) i(i(b_s_(),i(i(a_(),x),h)),i(i(MEM(),x),t)) -> i(i(MEM(),x),i(i(CONS(),h),t)) i(openu_interval(),i(i(c_(),i(vectoru_neg(),i(lift(),e))),i(lift(),e))) -> i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),e)) i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(acs(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(asn(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(i(hrealu_add(),i(mku_hreal(),i(naddu_eq(),x))),i(mku_hreal(),i(naddu_eq(),y))) -> i(mku_hreal(),i(naddu_eq(),i(i(naddu_add(),x),y))) i(i(hrealu_mul(),i(mku_hreal(),i(naddu_eq(),x))),i(mku_hreal(),i(naddu_eq(),y))) -> i(mku_hreal(),i(naddu_eq(),i(i(naddu_mul(),x),y))) i(i(hrealu_le(),i(mku_hreal(),i(naddu_eq(),x))),i(mku_hreal(),i(naddu_eq(),y))) -> i(i(naddu_le(),x),y) i(i(intu_mul(),i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),x) -> i(intu_neg(),x) i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_add(),x),x)) -> i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(i(COND(),i(i(a_(),t),NIL())),h),i(LAST(),t)) -> i(LAST(),i(i(CONS(),h),t)) i(i(vectoru_sub(),i(i(r_(),a),x)),i(i(r_(),b),x)) -> i(i(r_(),i(i(realu_sub(),a),b)),x) i(i(vectoru_add(),i(i(r_(),c),x)),i(i(r_(),c),y)) -> i(i(r_(),c),i(i(vectoru_add(),x),y)) i(i(vectoru_sub(),i(i(r_(),c),x)),i(i(r_(),c),y)) -> i(i(r_(),c),i(i(vectoru_sub(),x),y)) i(i(vectoru_add(),i(i(r_(),a),x)),i(i(r_(),b),x)) -> i(i(r_(),i(i(realu_add(),a),b)),x) i(i(realu_add(),i(realu_ofu_num(),n)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(SUC(),n)) i(i(intu_add(),i(intu_ofu_num(),n)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(intu_ofu_num(),i(SUC(),n)) i(i(t_(),i(i(EXP(),u_0()),n)),i(i(EXP(),u_0()),n)) -> i(i(EXP(),u_0()),i(BIT0(),n)) i(i(r_(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),x) -> i(vectoru_neg(),x) i(i(r_r_(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),A) -> i(matrixu_neg(),A) i(i(openu_in(),i(i(subtopology(),euclidean()),i(i(hull(),affine()),s0))),s0) -> i(i(a_(),i(relativeu_interior(),s0)),s0) i(i(EL(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),l) -> i(i(EL(),n),i(TL(),l)) i(numu_ofu_int(),i(intu_gcd(),i(i(c_(),i(intu_ofu_num(),a)),i(intu_ofu_num(),b)))) -> i(numu_gcd(),i(i(c_(),a),b)) i(i(realu_max(),i(i(realu_sub(),b),a)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_measure(),i(openu_realu_interval(),i(i(c_(),a),b))) i(i(a_(),i(i(dot(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(orthogonal(),x),y) i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(intu_le(),i(i(intu_add(),x),y)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(intu_le(),x),i(intu_neg(),y)) i(i(realu_lt(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_lt(),x),i(realu_neg(),y)) i(i(b_s_(),i(ODD(),m)),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(ODD(),i(i(EXP(),m),n)) i(i(realu_le(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),x),i(realu_neg(),y)) i(content(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) i(i(vectoru_add(),i(Cx(),x)),i(i(complexu_mul(),ii()),i(Cx(),y))) -> i(complex(),i(i(c_(),x),y)) i(closure(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) i(i(a_(),i(i(hull(),convex()),s0)),i(i(INSERT(),a),EMPTY())) -> i(i(a_(),s0),i(i(INSERT(),a),EMPTY())) i(i(s_b_(),i(i(a_(),l),NIL())),i(i(a_(),m),NIL())) -> i(i(a_(),i(i(APPEND(),l),m)),NIL()) i(i(s_b_(),i(i(a_(),s0),EMPTY())),i(i(a_(),t),EMPTY())) -> i(i(a_(),i(i(UNION(),s0),t)),EMPTY()) i(i(a_(),i(i(hull(),affine()),s0)),i(i(INSERT(),a),EMPTY())) -> i(i(a_(),s0),i(i(INSERT(),a),EMPTY())) i(i(b_s_(),i(i(a_(),s0),EMPTY())),i(i(a_(),t),EMPTY())) -> i(i(a_(),i(i(CROSS(),s0),t)),EMPTY()) i(i(a_(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),y),i(realu_neg(),x)) i(i(b_s_(),i(i(intu_lt(),x),y)),i(i(a_(),x),y)) -> i(i(intu_le(),x),y) i(i(b_s_(),i(i(a_(),m),n)),i(i(l_(),m),n)) -> i(i(l_(),m),i(SUC(),n)) i(i(s_b_(),i(path(),p)),i(i(SUBSET(),i(pathu_image(),p)),s0)) -> i(i(i(homotopicu_paths(),s0),p),p) i(i(i(hasu_complexu_derivative(),f),i(i(complexu_derivative(),f),x)),i(at(),x)) -> i(i(complexu_differentiable(),f),i(at(),x)) i(i(b_s_(),i(i(l_u_c(),s0),t)),i(i(a_u_c(),s0),t)) -> i(i(l_a_u_c(),s0),t) i(i(s_b_(),i(FINITE(),s0)),i(i(a_(),i(CARD(),s0)),n)) -> i(i(HASu_SIZE(),s0),n) i(i(b_s_(),i(i(l_(),m),n)),i(i(a_(),m),n)) -> i(i(l_a_(),m),n) i(i(b_s_(),i(i(realu_lt(),x),y)),i(i(a_(),x),y)) -> i(i(realu_le(),x),y) i(i(s_b_(),i(realu_measurable(),s0)),i(i(a_(),i(realu_measure(),s0)),m)) -> i(i(hasu_realu_measure(),s0),m) i(i(MEM(),i(i(c_(),x),i(i(ASSOC(),x),l))),l) -> i(i(MEM(),x),i(i(MAP(),FST()),l)) i(i(i(hasu_realu_derivative(),f),i(i(realu_derivative(),f),x)),i(atreal(),x)) -> i(i(realu_differentiable(),f),i(atreal(),x)) i(i(b_s_(),i(i(realu_lt(),x),y)),i(i(realu_lt(),y),x)) -> i(w_(),i(i(a_(),x),y)) i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_add(),x),y)) -> i(i(intu_le(),i(intu_neg(),x)),y) i(i(b_s_(),i(i(intu_lt(),x),y)),i(i(intu_lt(),y),x)) -> i(w_(),i(i(a_(),x),y)) i(i(a_(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(realu_neg(),y)) i(i(a_(),i(i(intu_add(),x),y)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),y),i(intu_neg(),x)) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_add(),x),y)) -> i(i(realu_lt(),i(realu_neg(),x)),y) i(w_(),i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY())) -> i(i(realu_lt(),i(drop(),a)),i(drop(),b)) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_add(),x),y)) -> i(i(realu_le(),i(realu_neg(),x)),y) i(i(s_b_(),i(measurable(),s0)),i(i(a_(),i(measure(),s0)),m)) -> i(i(hasu_measure(),s0),m) i(FINITE(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(realu_le(),i(drop(),b)),i(drop(),a)) i(i(convexu_on(),i(i(o(),f),drop())),i(i(IMAGE(),lift()),s0)) -> i(i(realu_convexu_on(),f),s0) i(i(a_(),i(i(intu_add(),x),y)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(intu_neg(),y)) i(interior(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(openu_interval(),i(i(c_(),a),b)) i(i(UNION(),i(i(DIFF(),X),Y)),i(i(DIFF(),Y),X)) -> i(i(SDIFF(),X),Y) i(i(a_(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(a_(),i(vectoru_norm(),x)),i(vectoru_norm(),y)) i(i(realu_le(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(realu_le(),i(vectoru_norm(),x)),i(vectoru_norm(),y)) i(i(realu_lt(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(realu_lt(),i(vectoru_norm(),x)),i(vectoru_norm(),y)) i(negligible(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY()) i(realu_negligible(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(a_(),i(openu_realu_interval(),i(i(c_(),a),b))),EMPTY()) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_sub(),x),y)) -> i(i(realu_le(),y),x) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_sub(),x),y)) -> i(i(realu_lt(),y),x) i(i(a_(),i(i(intu_sub(),x),y)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),y) i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_sub(),x),y)) -> i(i(intu_le(),y),x) i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_sub(),x),y)) -> i(i(intu_lt(),y),x) i(i(s_b_(),i(i(hrealu_le(),x),y)),i(i(hrealu_le(),y),x)) -> i(i(a_(),x),y) i(i(s_b_(),i(i(naddu_le(),x),y)),i(i(naddu_le(),y),x)) -> i(i(naddu_eq(),x),y) i(i(a_(),i(i(realu_sub(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),y) i(w_(),i(i(a_(),i(openu_realu_interval(),i(i(c_(),a),b))),EMPTY())) -> i(i(realu_lt(),a),b) i(i(INTER(),i(from(),k)),i(i(o_o_(),i(NUMERAL(),u_0())),n)) -> i(i(o_o_(),k),n) i(tan(),i(i(realu_add(),x),i(i(realu_mul(),i(realu_ofu_num(),n)),pi()))) -> i(tan(),x) i(i(a_(),i(binom(),i(i(c_(),n),k))),i(NUMERAL(),u_0())) -> i(i(l_(),n),k) i(i(s_b_(),i(i(realu_le(),x),y)),i(i(realu_le(),y),x)) -> i(i(a_(),x),y) i(i(s_b_(),i(i(intu_le(),x),y)),i(i(intu_le(),y),x)) -> i(i(a_(),x),y) i(i(s_b_(),i(i(l_a_(),m),n)),i(i(l_a_(),n),m)) -> i(i(a_(),m),n) i(i(m_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),m) -> i(CARD(),i(i(o_o_(),m),n)) i(i(s_b_(),i(i(SUBSET(),s0),t)),i(i(SUBSET(),t),s0)) -> i(i(a_(),s0),t) i(i(s_b_(),i(i(trealu_le(),x),y)),i(i(trealu_le(),y),x)) -> i(i(trealu_eq(),x),y) i(FINITE(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) -> i(i(a_(),a),b) i(i(s_b_(),i(i(l_a_u_c(),s0),t)),i(i(l_a_u_c(),t),s0)) -> i(i(a_u_c(),s0),t) i(i(complexu_mul(),i(cexp(),i(i(complexu_mul(),ii()),i(Cx(),t)))),z) -> i(i(rotate2d(),t),z) i(i(a_(),i(i(vectoru_sub(),x),y)),i(vec(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),y) i(i(SUBSET(),s0),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY())) -> i(i(a_(),i(dim(),s0)),i(NUMERAL(),u_0())) i(i(b_s_(),i(i(a_(),s0),EMPTY())),i(i(a_(),s0),UNIV())) -> i(i(s_b_(),i(closed(),s0)),i(open(),s0)) i(i(b_s_(),i(i(a_(),s0),EMPTY())),i(i(a_(),s0),UNIV())) -> i(i(a_(),i(frontier(),s0)),EMPTY()) i(i(FCONS(),i(f,i(NUMERAL(),u_0()))),i(i(o(),f),SUC())) -> f i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),x) -> x i(i(complexu_pow(),i(csqrt(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> z i(i(complexu_mul(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> x i(i(complexu_div(),z),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> z i(clog(),i(vectoru_neg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))) -> i(i(complexu_mul(),ii()),i(Cx(),pi())) i(i(b_s_(),i(i(R,x),y)),i(i(R,y),x)) -> i(i(i(SC(),R),x),y) i(cacs(),i(vectoru_neg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))) -> i(Cx(),pi()) i(sqrt(),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(realu_abs(),x) i(i(realu_mul(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),x) -> i(realu_neg(),x) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_add(),x),x)) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_lt(),i(Im(),i(complexu_inv(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),z)) i(i(realu_le(),i(Im(),i(complexu_inv(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),z)) i(i(a_(),i(i(dot(),x),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(a_(),i(i(dot(),x),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(vectoru_norm(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(complexu_inv(),z))) -> i(i(realu_le(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Im(),i(complexu_inv(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Arg(),i(complexu_inv(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Arg(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(vectoru_norm(),i(complex(),i(i(c_(),i(cos(),t)),i(sin(),t)))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),i(complexu_inv(),z))) -> i(i(realu_lt(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(realu_sgn(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(realu_gt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(exp(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_add(),i(mku_real(),i(trealu_eq(),x1))),i(mku_real(),i(trealu_eq(),y1))) -> i(mku_real(),i(trealu_eq(),i(i(trealu_add(),x1),y1))) i(i(realu_mul(),i(mku_real(),i(trealu_eq(),x1))),i(mku_real(),i(trealu_eq(),y1))) -> i(mku_real(),i(trealu_eq(),i(i(trealu_mul(),x1),y1))) i(i(realu_le(),i(mku_real(),i(trealu_eq(),x1))),i(mku_real(),i(trealu_eq(),y1))) -> i(i(trealu_le(),x1),y1) i(i(i(ITER(),n),f),i(i(i(ITER(),m),f),x)) -> i(i(i(ITER(),i(i(p_(),n),m)),f),x) i(i(PASSOC(),f),i(i(c_(),x),i(i(c_(),y),z))) -> i(f,i(i(c_(),i(i(c_(),x),y)),z)) i(i(i(ITLIST(),f),l1),i(i(i(ITLIST(),f),l2),a)) -> i(i(i(ITLIST(),f),i(i(APPEND(),l1),l2)),a) i(i(DISJOINT(),i(i(pathu_component(),s0),a)),i(i(pathu_component(),s0),b)) -> i(w_(),i(i(IN(),a),i(i(pathu_component(),s0),b))) i(i(complexu_mul(),i(i(complexu_pow(),x),n)),i(i(complexu_pow(),y),n)) -> i(i(complexu_pow(),i(i(complexu_mul(),x),y)),n) i(i(vectoru_sub(),i(i(matrixu_vectoru_mul(),A),x)),i(i(matrixu_vectoru_mul(),B),x)) -> i(i(matrixu_vectoru_mul(),i(i(matrixu_sub(),A),B)),x) i(i(vectoru_sub(),i(i(dropout(),k),x)),i(i(dropout(),k),y)) -> i(i(dropout(),k),i(i(vectoru_sub(),x),y)) i(i(vectoru_add(),i(i(complexu_mul(),x),y)),i(i(complexu_mul(),x),z)) -> i(i(complexu_mul(),x),i(i(vectoru_add(),y),z)) i(i(intu_mul(),i(i(intu_pow(),x),m)),i(i(intu_pow(),x),n)) -> i(i(intu_pow(),x),i(i(p_(),m),n)) i(i(realu_sub(),i(i(dot(),x),y)),i(i(dot(),x),z)) -> i(i(dot(),x),i(i(vectoru_sub(),y),z)) i(i(realu_add(),i(i(realu_mul(),x),y)),i(i(realu_mul(),x),z)) -> i(i(realu_mul(),x),i(i(realu_add(),y),z)) i(i(hrealu_add(),i(i(hrealu_mul(),m),p)),i(i(hrealu_mul(),n),p)) -> i(i(hrealu_mul(),i(i(hrealu_add(),m),n)),p) i(i(s_b_(),i(i(realu_le(),x),z)),i(i(realu_le(),y),z)) -> i(i(realu_le(),i(i(realu_max(),x),y)),z) i(i(s_b_(),i(i(realu_lt(),x),z)),i(i(realu_lt(),y),z)) -> i(i(realu_lt(),i(i(realu_max(),x),y)),z) i(i(s_b_(),i(i(IN(),x),t)),i(i(SUBSET(),s0),t)) -> i(i(SUBSET(),i(i(INSERT(),x),s0)),t) i(i(realu_mul(),i(i(rpow(),x),z)),i(i(rpow(),y),z)) -> i(i(rpow(),i(i(realu_mul(),x),y)),z) i(i(APPEND(),i(i(FILTER(),P),l1)),i(i(FILTER(),P),l2)) -> i(i(FILTER(),P),i(i(APPEND(),l1),l2)) i(i(realu_sub(),i(i(d_(),x),i0)),i(i(d_(),y),i0)) -> i(i(d_(),i(i(vectoru_sub(),x),y)),i0) i(i(vectoru_add(),i(i(matrixu_vectoru_mul(),A),x)),i(i(matrixu_vectoru_mul(),A),y)) -> i(i(matrixu_vectoru_mul(),A),i(i(vectoru_add(),x),y)) i(i(complexu_div(),i(i(cpow(),w),z1)),i(i(cpow(),w),z2)) -> i(i(cpow(),w),i(i(vectoru_sub(),z1),z2)) i(i(matrixu_add(),i(i(matrixu_mul(),A),B)),i(i(matrixu_mul(),A),C)) -> i(i(matrixu_mul(),A),i(i(matrixu_add(),B),C)) i(i(s_b_(),i(i(intu_le(),x),z)),i(i(intu_le(),y),z)) -> i(i(intu_le(),i(i(intu_max(),x),y)),z) i(i(s_b_(),i(i(intu_lt(),x),z)),i(i(intu_lt(),y),z)) -> i(i(intu_lt(),i(i(intu_max(),x),y)),z) i(i(b_s_(),i(i(a_(),x),y)),i(i(IN(),x),s0)) -> i(i(IN(),x),i(i(INSERT(),y),s0)) i(i(b_s_(),i(i(realu_lt(),z),x)),i(i(realu_lt(),z),y)) -> i(i(realu_lt(),z),i(i(realu_max(),x),y)) i(i(realu_sub(),i(i(realu_mul(),x),y)),i(i(realu_mul(),x),z)) -> i(i(realu_mul(),x),i(i(realu_sub(),y),z)) i(i(s_b_(),i(i(realu_lt(),z),x)),i(i(realu_lt(),z),y)) -> i(i(realu_lt(),z),i(i(realu_min(),x),y)) i(i(b_s_(),i(i(s_b_(),p),r)),i(i(s_b_(),q),r)) -> i(i(s_b_(),i(i(b_s_(),p),q)),r) i(i(realu_add(),i(i(realu_mul(),x),z)),i(i(realu_mul(),y),z)) -> i(i(realu_mul(),i(i(realu_add(),x),y)),z) i(i(s_b_(),i(i(ALL(),P),l1)),i(i(ALL(),P),l2)) -> i(i(ALL(),P),i(i(APPEND(),l1),l2)) i(i(realu_add(),i(i(dot(),x),z)),i(i(dot(),y),z)) -> i(i(dot(),i(i(vectoru_add(),x),y)),z) i(i(b_s_(),i(i(intu_lt(),z),x)),i(i(intu_lt(),z),y)) -> i(i(intu_lt(),z),i(i(intu_max(),x),y)) i(i(vectoru_add(),i(i(matrixu_vectoru_mul(),A),x)),i(i(matrixu_vectoru_mul(),B),x)) -> i(i(matrixu_vectoru_mul(),i(i(matrixu_add(),A),B)),x) i(i(s_b_(),i(i(intu_lt(),z),x)),i(i(intu_lt(),z),y)) -> i(i(intu_lt(),z),i(i(intu_min(),x),y)) i(i(matrixu_sub(),i(i(matrixu_mul(),A),B)),i(i(matrixu_mul(),A),C)) -> i(i(matrixu_mul(),A),i(i(matrixu_sub(),B),C)) i(i(b_s_(),i(i(IN(),x),s0)),i(i(IN(),x),t)) -> i(i(IN(),x),i(i(UNION(),s0),t)) i(i(vectoru_angle(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),c),b)) -> i(angle(),i(i(c_(),a),i(i(c_(),b),c))) i(i(matrixu_add(),i(i(matrixu_mul(),A),C)),i(i(matrixu_mul(),B),C)) -> i(i(matrixu_mul(),i(i(matrixu_add(),A),B)),C) i(i(vectoru_add(),i(i(dropout(),k),x)),i(i(dropout(),k),y)) -> i(i(dropout(),k),i(i(vectoru_add(),x),y)) i(i(s_b_(),i(i(IN(),x),s0)),i(i(IN(),x),t)) -> i(i(IN(),x),i(i(INTER(),s0),t)) i(i(t_(),i(i(EXP(),m),n)),i(i(EXP(),m),p)) -> i(i(EXP(),m),i(i(p_(),n),p)) i(i(realu_add(),i(i(dot(),x),y)),i(i(dot(),x),z)) -> i(i(dot(),x),i(i(vectoru_add(),y),z)) i(i(realu_mul(),i(i(realu_pow(),x),m)),i(i(realu_pow(),x),n)) -> i(i(realu_pow(),x),i(i(p_(),m),n)) i(i(intu_add(),i(i(intu_mul(),x),y)),i(i(intu_mul(),x),z)) -> i(i(intu_mul(),x),i(i(intu_add(),y),z)) i(i(INTER(),i(i(normball(),v0),r)),i(i(cone0(),v0),S)) -> i(i(i(solidu_triangle(),v0),S),r) i(i(s_b_(),i(i(analyticu_on(),f),s0)),i(i(analyticu_on(),f),t)) -> i(i(analyticu_on(),f),i(i(UNION(),s0),t)) i(i(realu_sub(),i(i(realu_mul(),x),z)),i(i(realu_mul(),y),z)) -> i(i(realu_mul(),i(i(realu_sub(),x),y)),z) i(i(matrixu_add(),i(i(r_r_(),c),A)),i(i(r_r_(),c),B)) -> i(i(r_r_(),c),i(i(matrixu_add(),A),B)) i(i(complexu_mul(),i(i(cpow(),w),z1)),i(i(cpow(),w),z2)) -> i(i(cpow(),w),i(i(vectoru_add(),z1),z2)) i(i(b_s_(),i(i(realu_le(),x),z)),i(i(realu_le(),y),z)) -> i(i(realu_le(),i(i(realu_min(),x),y)),z) i(i(b_s_(),i(i(realu_lt(),x),z)),i(i(realu_lt(),y),z)) -> i(i(realu_lt(),i(i(realu_min(),x),y)),z) i(i(realu_div(),i(i(realu_pow(),x),n)),i(i(realu_pow(),y),n)) -> i(i(realu_pow(),i(i(realu_div(),x),y)),n) i(i(matrixu_sub(),i(i(matrixu_mul(),A),C)),i(i(matrixu_mul(),B),C)) -> i(i(matrixu_mul(),i(i(matrixu_sub(),A),B)),C) i(i(intu_mul(),i(i(intu_pow(),x),n)),i(i(intu_pow(),y),n)) -> i(i(intu_pow(),i(i(intu_mul(),x),y)),n) i(i(complexu_mul(),i(i(complexu_pow(),x),m)),i(i(complexu_pow(),x),n)) -> i(i(complexu_pow(),x),i(i(p_(),m),n)) i(i(intu_sub(),i(i(intu_mul(),x),y)),i(i(intu_mul(),x),z)) -> i(i(intu_mul(),x),i(i(intu_sub(),y),z)) i(i(b_s_(),i(i(intu_le(),x),z)),i(i(intu_le(),y),z)) -> i(i(intu_le(),i(i(intu_min(),x),y)),z) i(i(b_s_(),i(i(intu_lt(),x),z)),i(i(intu_lt(),y),z)) -> i(i(intu_lt(),i(i(intu_min(),x),y)),z) i(i(MAP(),f),i(i(FILTER(),i(i(o(),P),f)),l)) -> i(i(FILTER(),P),i(i(MAP(),f),l)) i(i(intu_add(),i(i(intu_mul(),x),z)),i(i(intu_mul(),y),z)) -> i(i(intu_mul(),i(i(intu_add(),x),y)),z) i(i(matrixu_sub(),i(i(r_r_(),c),A)),i(i(r_r_(),c),B)) -> i(i(r_r_(),c),i(i(matrixu_sub(),A),B)) i(i(UNION(),i(i(IMAGE(),f),s0)),i(i(IMAGE(),f),t)) -> i(i(IMAGE(),f),i(i(UNION(),s0),t)) i(i(matrixu_add(),i(i(r_r_(),b),A)),i(i(r_r_(),c),A)) -> i(i(r_r_(),i(i(realu_add(),b),c)),A) i(i(m_(),i(i(t_(),m),n)),i(i(t_(),m),p)) -> i(i(t_(),m),i(i(m_(),n),p)) i(i(DISJOINT(),i(i(connectedu_component(),s0),a)),i(i(connectedu_component(),s0),b)) -> i(w_(),i(i(IN(),a),i(i(connectedu_component(),s0),b))) i(i(vectoru_add(),i(i(cross(),x),z)),i(i(cross(),y),z)) -> i(i(cross(),i(i(vectoru_add(),x),y)),z) i(i(complexu_div(),i(i(complexu_pow(),x),n)),i(i(complexu_pow(),y),n)) -> i(i(complexu_pow(),i(i(complexu_div(),x),y)),n) i(i(s_b_(),i(i(l_a_(),m),p)),i(i(l_a_(),p),n)) -> i(i(IN(),p),i(i(o_o_(),m),n)) i(i(b_s_(),i(i(s_b_(),p),q)),i(i(s_b_(),p),r)) -> i(i(s_b_(),p),i(i(b_s_(),q),r)) i(i(vectoru_sub(),i(i(complexu_mul(),x),y)),i(i(complexu_mul(),x),z)) -> i(i(complexu_mul(),x),i(i(vectoru_sub(),y),z)) i(i(t_(),i(i(EXP(),m),p)),i(i(EXP(),n),p)) -> i(i(EXP(),i(i(t_(),m),n)),p) i(i(hull(),P),i(i(UNION(),i(i(hull(),P),s0)),t)) -> i(i(hull(),P),i(i(UNION(),s0),t)) i(i(intu_sub(),i(i(intu_mul(),x),z)),i(i(intu_mul(),y),z)) -> i(i(intu_mul(),i(i(intu_sub(),x),y)),z) i(i(vectoru_add(),i(i(complexu_mul(),x),z)),i(i(complexu_mul(),y),z)) -> i(i(complexu_mul(),i(i(vectoru_add(),x),y)),z) i(i(b_s_(),i(i(realu_le(),z),x)),i(i(realu_le(),z),y)) -> i(i(realu_le(),z),i(i(realu_max(),x),y)) i(i(UNION(),i(i(INTER(),s0),t)),i(i(INTER(),s0),u)) -> i(i(INTER(),s0),i(i(UNION(),t),u)) i(i(s_b_(),i(i(realu_le(),z),x)),i(i(realu_le(),z),y)) -> i(i(realu_le(),z),i(i(realu_min(),x),y)) i(i(vectoru_add(),i(i(cross(),x),y)),i(i(cross(),x),z)) -> i(i(cross(),x),i(i(vectoru_add(),y),z)) i(i(matrixu_sub(),i(i(r_r_(),b),A)),i(i(r_r_(),c),A)) -> i(i(r_r_(),i(i(realu_sub(),b),c)),A) i(i(p_(),i(i(t_(),m),p)),i(i(t_(),n),p)) -> i(i(t_(),i(i(p_(),m),n)),p) i(i(hull(),P),i(i(UNION(),s0),i(i(hull(),P),t))) -> i(i(hull(),P),i(i(UNION(),s0),t)) i(i(i(intu_mod(),i(intu_ofu_num(),n)),i(intu_ofu_num(),x)),i(intu_ofu_num(),y)) -> i(i(i(numu_mod(),n),x),y) i(i(b_s_(),i(i(R,x),y)),i(i(a_(),x),y)) -> i(i(i(RC(),R),x),y) i(i(INTER(),i(i(UNION(),s0),t)),i(i(UNION(),s0),u)) -> i(i(UNION(),s0),i(i(INTER(),t),u)) i(i(vectoru_sub(),i(i(matrixu_vectoru_mul(),A),x)),i(i(matrixu_vectoru_mul(),A),y)) -> i(i(matrixu_vectoru_mul(),A),i(i(vectoru_sub(),x),y)) i(i(b_s_(),i(i(intu_le(),z),x)),i(i(intu_le(),z),y)) -> i(i(intu_le(),z),i(i(intu_max(),x),y)) i(i(s_b_(),i(i(SUBSET(),s0),t)),i(i(SUBSET(),s0),u)) -> i(i(SUBSET(),s0),i(i(INTER(),t),u)) i(i(realu_mul(),i(i(realu_pow(),x),n)),i(i(realu_pow(),y),n)) -> i(i(realu_pow(),i(i(realu_mul(),x),y)),n) i(i(s_b_(),i(i(intu_le(),z),x)),i(i(intu_le(),z),y)) -> i(i(intu_le(),z),i(i(intu_min(),x),y)) i(i(s_b_(),i(i(SUBSET(),s0),u)),i(i(SUBSET(),t),u)) -> i(i(SUBSET(),i(i(UNION(),s0),t)),u) i(i(m_(),i(i(t_(),m),p)),i(i(t_(),n),p)) -> i(i(t_(),i(i(m_(),m),n)),p) i(i(hrealu_add(),i(i(hrealu_mul(),x),y)),i(i(hrealu_mul(),x),z)) -> i(i(hrealu_mul(),x),i(i(hrealu_add(),y),z)) i(i(vectoru_sub(),i(i(rotate2d(),t),w)),i(i(rotate2d(),t),z)) -> i(i(rotate2d(),t),i(i(vectoru_sub(),w),z)) i(i(APPEND(),i(i(MAP(),f),l1)),i(i(MAP(),f),l2)) -> i(i(MAP(),f),i(i(APPEND(),l1),l2)) i(i(vectoru_sub(),i(i(complexu_mul(),x),z)),i(i(complexu_mul(),y),z)) -> i(i(complexu_mul(),i(i(vectoru_sub(),x),y)),z) i(i(b_s_(),i(i(limitu_pointu_of(),x),s0)),i(i(limitu_pointu_of(),x),t)) -> i(i(limitu_pointu_of(),x),i(i(UNION(),s0),t)) i(i(pastecart(),i(i(r_(),c),x1)),i(i(r_(),c),y1)) -> i(i(r_(),c),i(i(pastecart(),x1),y1)) i(i(realu_add(),i(i(d_(),x),i0)),i(i(d_(),y),i0)) -> i(i(d_(),i(i(vectoru_add(),x),y)),i0) i(i(b_s_(),i(i(MEM(),x),l1)),i(i(MEM(),x),l2)) -> i(i(MEM(),x),i(i(APPEND(),l1),l2)) i(i(b_s_(),i(i(R,a0),a1)),i(i(a_(),a1),a0)) -> i(i(i(RC(),R),a0),a1) i(i(p_p_(),i(i(o(),f),p)),i(i(o(),f),q)) -> i(i(o(),f),i(i(p_p_(),p),q)) i(i(realu_sub(),i(i(dot(),x),z)),i(i(dot(),y),z)) -> i(i(dot(),i(i(vectoru_sub(),x),y)),z) i(i(s_b_(),i(i(DISJOINT(),s0),u)),i(i(DISJOINT(),t),u)) -> i(i(DISJOINT(),i(i(UNION(),s0),t)),u) i(i(p_(),i(i(t_(),m),n)),i(i(t_(),m),p)) -> i(i(t_(),m),i(i(p_(),n),p)) i(i(a_(),i(i(intu_add(),x),y)),i(i(intu_add(),x),z)) -> i(i(a_(),y),z) i(i(realu_lt(),i(i(realu_add(),x),y)),i(i(realu_add(),x),z)) -> i(i(realu_lt(),y),z) i(i(intu_le(),i(i(intu_add(),x),z)),i(i(intu_add(),y),z)) -> i(i(intu_le(),x),y) i(i(a_(),i(i(vectoru_add(),x),y)),i(i(vectoru_add(),x),z)) -> i(i(a_(),y),z) i(i(realu_lt(),i(i(realu_add(),x),z)),i(i(realu_add(),y),z)) -> i(i(realu_lt(),x),y) i(i(l_a_(),i(i(p_(),m),n)),i(i(p_(),m),p)) -> i(i(l_a_(),n),p) i(i(a_(),i(i(realu_add(),x),y)),i(i(realu_add(),x),z)) -> i(i(a_(),y),z) i(i(a_(),i(i(p_(),m),n)),i(i(p_(),m),p)) -> i(i(a_(),n),p) i(i(realu_le(),i(i(realu_add(),x),y)),i(i(realu_add(),x),z)) -> i(i(realu_le(),y),z) i(i(i(support(),op),f),i(i(i(support(),op),f),s0)) -> i(i(i(support(),op),f),s0) i(i(hrealu_le(),i(i(hrealu_add(),m),n)),i(i(hrealu_add(),m),p)) -> i(i(hrealu_le(),n),p) i(i(m_(),i(i(p_(),m),p)),i(i(p_(),n),p)) -> i(i(m_(),m),n) i(i(realu_le(),i(i(realu_add(),x),z)),i(i(realu_add(),y),z)) -> i(i(realu_le(),x),y) i(i(i(iterate(),op),i(i(i(support(),op),f),s0)),f) -> i(i(i(iterate(),op),s0),f) i(i(a_(),i(i(hrealu_add(),m),n)),i(i(hrealu_add(),m),p)) -> i(i(a_(),n),p) i(i(l_a_(),i(i(p_(),m),p)),i(i(p_(),n),p)) -> i(i(l_a_(),m),n) i(i(intu_add(),i(i(intu_sub(),a),b)),i(i(intu_sub(),b),c)) -> i(i(intu_sub(),a),c) i(permutation(),i(i(o(),p),i(swap(),i(i(c_(),a),b)))) -> i(permutation(),p) i(permutation(),i(i(o(),i(swap(),i(i(c_(),a),b))),p)) -> i(permutation(),p) i(i(a_(),i(i(p_(),m),p)),i(i(p_(),n),p)) -> i(i(a_(),m),n) i(i(i(sums(),i(i(o(),Cx()),f)),i(Cx(),l)),s0) -> i(i(i(realu_sums(),f),l),s0) i(i(hrealu_le(),i(i(hrealu_add(),m),p)),i(i(hrealu_add(),n),p)) -> i(i(hrealu_le(),m),n) i(i(a_(),i(i(rotate2d(),t),x)),i(i(rotate2d(),t),y)) -> i(i(a_(),x),y) i(i(realu_add(),i(i(realu_sub(),a),b)),i(i(realu_sub(),b),c)) -> i(i(realu_sub(),a),c) i(i(vectoru_add(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),b),c)) -> i(i(vectoru_sub(),a),c) i(i(m_(),i(i(p_(),m),n)),i(i(p_(),m),p)) -> i(i(m_(),n),p) i(i(naddu_le(),i(i(naddu_add(),x),y)),i(i(naddu_add(),x),z)) -> i(i(naddu_le(),y),z) i(i(l_(),i(i(p_(),m),p)),i(i(p_(),n),p)) -> i(i(l_(),m),n) i(i(a_(),i(i(hrealu_add(),m),p)),i(i(hrealu_add(),n),p)) -> i(i(a_(),m),n) i(i(intu_lt(),i(i(intu_add(),x),y)),i(i(intu_add(),x),z)) -> i(i(intu_lt(),y),z) i(i(naddu_le(),i(i(naddu_add(),x),z)),i(i(naddu_add(),y),z)) -> i(i(naddu_le(),x),y) i(i(a_(),i(i(intu_add(),x),z)),i(i(intu_add(),y),z)) -> i(i(a_(),x),y) i(i(MOD(),i(i(p_(),i(i(t_(),m),n)),p)),n) -> i(i(MOD(),p),n) i(i(a_(),i(i(vectoru_add(),x),z)),i(i(vectoru_add(),y),z)) -> i(i(a_(),x),y) i(i(intu_lt(),i(i(intu_add(),x),z)),i(i(intu_add(),y),z)) -> i(i(intu_lt(),x),y) i(i(a_(),i(i(realu_add(),x),z)),i(i(realu_add(),y),z)) -> i(i(a_(),x),y) i(i(intu_le(),i(i(intu_add(),x),y)),i(i(intu_add(),x),z)) -> i(i(intu_le(),y),z) i(i(l_(),i(i(p_(),m),n)),i(i(p_(),m),p)) -> i(i(l_(),n),p) i(i(r_(),x),i(vec(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(lift(),x) i(complex(),i(i(c_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),a) i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))) -> i(vectoru_norm(),x) i(i(d_(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> i(Im(),z) i(i(a_(),i(affu_dim(),s0)),i(intu_ofu_num(),i(dimindex(),UNIV()))) -> i(i(a_(),i(i(hull(),affine()),s0)),UNIV()) i(closedu_segment(),i(i(CONS(),i(i(c_(),a),a)),NIL())) -> i(i(INSERT(),a),EMPTY()) i(cball(),i(i(c_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(i(INSERT(),x),EMPTY()) i(i(DIFF(),UNIV()),i(closure(),i(i(DIFF(),UNIV()),s0))) -> i(interior(),s0) i(i(s_b_(),i(linear(),f)),i(orthogonalu_matrix(),i(matrix(),f))) -> i(orthogonalu_transformation(),f) i(i(DIFF(),UNIV()),i(i(UNION(),s0),i(outside(),s0))) -> i(inside(),s0) i(i(DIFF(),UNIV()),i(i(UNION(),s0),i(inside(),s0))) -> i(outside(),s0) i(i(DIFF(),UNIV()),i(interior(),i(i(DIFF(),UNIV()),s0))) -> i(closure(),s0) i(i(i(ALL2(),P),NIL()),i(i(CONS(),h2),t2)) -> F() i(i(i(ALL2(),P),i(i(CONS(),h1),t1)),NIL()) -> F() i(i(b_s_(),i(P,h)),i(i(EX(),P),t)) -> i(i(EX(),P),i(i(CONS(),h),t)) i(SUC(),i(i(p_(),i(NUMERAL(),n)),i(NUMERAL(),n))) -> i(NUMERAL(),i(BIT1(),n)) i(i(s_b_(),i(P,h)),i(i(ALL(),P),t)) -> i(i(ALL(),P),i(i(CONS(),h),t)) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(frac(),x)) -> i(w_(),i(integer(),x)) i(acs(),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> pi() i(i(intu_le(),i(intu_neg(),x)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(intu_lt(),i(intu_neg(),x)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) i(LAST(),i(i(CONS(),h),i(i(CONS(),k),t))) -> i(LAST(),i(i(CONS(),k),t)) i(i(INSERT(),i(f,x)),i(i(IMAGE(),f),s0)) -> i(i(IMAGE(),f),i(i(INSERT(),x),s0)) i(i(m_m_m_g_(),i(i(o(),drop()),s0)),i(drop(),l)) -> i(i(m_m_g_(),s0),l) i(span(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),s0)) -> i(span(),s0) i(i(IN(),i(INR(),y)),i(i(p_u_c(),s0),t)) -> i(i(IN(),y),t) i(i(IN(),i(INL(),x)),i(i(p_u_c(),s0),t)) -> i(i(IN(),x),s0) i(dim(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),s0)) -> i(dim(),s0) i(i(a_(),i(i(INTER(),i(frontier(),s0)),s0)),EMPTY()) -> i(open(),s0) i(vectoru_norm(),i(i(pastecart(),i(vec(),i(NUMERAL(),u_0()))),y)) -> i(vectoru_norm(),y) i(vectoru_norm(),i(i(pastecart(),x),i(vec(),i(NUMERAL(),u_0())))) -> i(vectoru_norm(),x) i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),x) -> i(vectoru_neg(),x) i(span(),i(i(DELETE(),s0),i(vec(),i(NUMERAL(),u_0())))) -> i(span(),s0) i(i(hrealu_mul(),i(hrealu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),x) -> x i(realu_sgn(),i(Im(),i(i(complexu_mul(),w),i(cnj(),z)))) -> i(realu_sgn(),i(Im(),i(i(complexu_div(),w),z))) i(vector(),i(i(CONS(),x),i(i(CONS(),y),NIL()))) -> i(complex(),i(i(c_(),x),y)) i(i(a_(),i(cball(),i(i(c_(),x),e))),EMPTY()) -> i(i(realu_lt(),e),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(ball(),i(i(c_(),x),e))),EMPTY()) -> i(i(realu_le(),e),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(inf(),i(i(INSERT(),x),i(i(INSERT(),y),EMPTY()))) -> i(i(realu_min(),x),y) i(sup(),i(i(INSERT(),x),i(i(INSERT(),y),EMPTY()))) -> i(i(realu_max(),x),y) i(intu_ofu_real(),i(i(realu_sub(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y))) -> i(i(intu_sub(),x),y) i(realu_neg(),i(i(realu_min(),i(realu_neg(),x)),i(realu_neg(),y))) -> i(i(realu_max(),x),y) i(intu_neg(),i(i(intu_max(),i(intu_neg(),x)),i(intu_neg(),y))) -> i(i(intu_min(),x),y) i(intu_ofu_real(),i(i(realu_add(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y))) -> i(i(intu_add(),x),y) i(intu_coprime(),i(i(c_(),i(intu_ofu_num(),a)),i(intu_ofu_num(),b))) -> i(numu_coprime(),i(i(c_(),a),b)) i(w_(),i(i(a_(),i(ODD(),m)),i(ODD(),n))) -> i(ODD(),i(i(p_(),m),n)) i(linepath(),i(i(c_(),i(g,a)),i(g,a))) -> i(i(i(subpath(),a),a),g) i(realu_neg(),i(i(realu_max(),i(realu_neg(),x)),i(realu_neg(),y))) -> i(i(realu_min(),x),y) i(intu_ofu_real(),i(i(realu_max(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y))) -> i(i(intu_max(),x),y) i(intu_gcd(),i(i(c_(),i(intu_ofu_num(),a)),i(intu_ofu_num(),b))) -> i(intu_ofu_num(),i(numu_gcd(),i(i(c_(),a),b))) i(intu_ofu_real(),i(i(realu_min(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y))) -> i(i(intu_min(),x),y) i(intu_ofu_real(),i(i(realu_mul(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y))) -> i(i(intu_mul(),x),y) i(intu_neg(),i(i(intu_min(),i(intu_neg(),x)),i(intu_neg(),y))) -> i(i(intu_max(),x),y) i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) -> i(pathu_image(),i(linepath(),i(i(c_(),a),b))) i(i(i(m_m_m_g_(),f),i(f,x)),i(atreal(),x)) -> i(i(realu_continuous(),f),i(atreal(),x)) i(i(i(m_m_m_g_(),f),i(f,x)),i(at(),x)) -> i(i(realu_continuous(),f),i(at(),x)) i(i(i(m_m_g_(),f),i(f,x)),i(atreal(),x)) -> i(i(continuous(),f),i(atreal(),x)) i(i(i(m_m_g_(),f),i(f,x)),i(at(),x)) -> i(i(continuous(),f),i(at(),x)) i(distance(),i(i(c_(),i(lift(),x)),i(lift(),y))) -> i(realu_abs(),i(i(realu_sub(),x),y)) i(i(s_b_(),i(i(convexu_on(),f),s0)),i(convex(),s0)) -> i(convex(),i(i(epigraph(),s0),f)) i(i(shiftpath(),t),i(linepath(),i(i(c_(),a),a))) -> i(linepath(),i(i(c_(),a),a)) i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY()) -> i(negligible(),i(openu_interval(),i(i(c_(),a),b))) i(i(a_(),i(openu_realu_interval(),i(i(c_(),a),b))),EMPTY()) -> i(realu_negligible(),i(openu_realu_interval(),i(i(c_(),a),b))) i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY()) -> i(COUNTABLE(),i(openu_interval(),i(i(c_(),a),b))) i(i(i(COND(),i(i(realu_le(),m),n)),n),m) -> i(i(realu_max(),m),n) i(i(i(COND(),i(i(realu_le(),m),n)),m),n) -> i(i(realu_min(),m),n) i(i(a_(),i(i(m_(),m),n)),i(NUMERAL(),u_0())) -> i(i(l_a_(),m),n) i(i(i(COND(),i(i(intu_le(),x),y)),y),x) -> i(i(intu_max(),x),y) i(i(i(COND(),i(i(intu_le(),x),y)),x),y) -> i(i(intu_min(),x),y) i(i(IN(),m),i(i(o_o_(),i(NUMERAL(),u_0())),n)) -> i(i(l_a_(),m),n) i(cexp(),i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),n))),x)) -> i(i(complexu_pow(),i(cexp(),x)),n) i(i(i(COND(),i(i(l_a_(),m),n)),n),m) -> i(i(MAX(),m),n) i(i(i(COND(),i(i(l_a_(),m),n)),m),n) -> i(i(MIN(),m),n) i(i(a_(),i(openu_realu_interval(),i(i(c_(),a),b))),EMPTY()) -> i(i(realu_le(),b),a) i(cacs(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(clog(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(vectoru_neg(),x)),i(vec(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(nsum(),i(i(i(support(),p_()),f),s0)),f) -> i(i(nsum(),s0),f) i(i(i(hasu_derivative(),f),i(i(frechetu_derivative(),f),net0)),net0) -> i(i(differentiable(),f),net0) i(i(i(affsign(),sgnu_ge()),i(i(INSERT(),v),EMPTY())),S) -> i(i(cone(),v),S) i(i(i(hasu_integral(),f),i(i(integral(),s0),f)),s0) -> i(i(integrableu_on(),f),s0) i(i(i(m_m_m_g_(),f),i(f,i(netlimit(),net0))),net0) -> i(i(realu_continuous(),f),net0) i(i(i(hasu_vectoru_derivative(),f),i(i(vectoru_derivative(),f),net0)),net0) -> i(i(differentiable(),f),net0) i(i(i(affsign(),sgnu_gt()),i(i(INSERT(),v),EMPTY())),S) -> i(i(cone0(),v),S) i(i(i(realu_sums(),f),i(i(realu_infsum(),s0),f)),s0) -> i(i(realu_summable(),s0),f) i(i(a_(),i(openu_segment(),i(i(c_(),a),b))),EMPTY()) -> i(i(a_(),a),b) i(i(i(sums(),f),i(i(infsum(),s0),f)),s0) -> i(i(summable(),s0),f) i(i(i(hasu_realu_integral(),f),i(i(realu_integral(),s0),f)),s0) -> i(i(realu_integrableu_on(),f),s0) i(i(i(higheru_complexu_derivative(),i(NUMERAL(),i(BIT1(),u_0()))),f),z) -> i(i(complexu_derivative(),f),z) i(i(i(affsign(),sgn),i(i(DIFF(),s0),t)),t) -> i(i(i(affsign(),sgn),s0),t) i(i(i(m_m_g_(),f),i(f,i(netlimit(),net0))),net0) -> i(i(continuous(),f),net0) i(i(IN(),i(lift(),x)),i(i(IMAGE(),lift()),s0)) -> i(i(IN(),x),s0) i(i(sum(),i(i(i(support(),realu_add()),f),s0)),f) -> i(i(sum(),s0),f) i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(affu_dim(),s0)) -> i(w_(),i(i(a_(),s0),EMPTY())) i(i(a_(),i(det(),A)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(l_(),i(rank(),A)),i(dimindex(),UNIV())) i(i(b_s_(),i(FINITE(),s0)),i(i(a_u_c(),s0),UNIV())) -> i(COUNTABLE(),s0) i(binom(),i(i(c_(),i(NUMERAL(),u_0())),i(SUC(),k))) -> i(NUMERAL(),u_0()) i(i(APPEND(),i(REVERSE(),l)),i(i(CONS(),x),NIL())) -> i(REVERSE(),i(i(CONS(),x),l)) i(csqrt(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(complexu_inv(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) i(UNIONS(),i(i(INSERT(),s0),i(i(INSERT(),t),EMPTY()))) -> i(i(UNION(),s0),t) i(INTERS(),i(i(INSERT(),s0),i(i(INSERT(),t),EMPTY()))) -> i(i(INTER(),s0),t) i(i(i(i(RELPOW(),i(NUMERAL(),u_0())),R),x),y) -> i(i(a_(),x),y) i(i(vectoru_add(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),x) -> x i(i(intu_mul(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),x) -> x i(i(intu_mul(),x),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> x i(i(vectoru_add(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> x i(complex(),i(i(c_(),i(Re(),z)),i(Im(),z))) -> z i(i(vectoru_sub(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> x i(i(matrixu_vectoru_mul(),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))),x) -> x i(i(matrixu_mul(),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))),A) -> A i(i(matrixu_mul(),A),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) -> A i(i(r_r_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),X) -> X i(i(r_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),x) -> x i(dist(),i(i(c_(),m),i(i(p_(),m),n))) -> n i(dist(),i(i(c_(),i(i(p_(),m),n)),m)) -> n i(CARD(),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),n)) -> n i(binom(),i(i(c_(),n),i(NUMERAL(),i(BIT1(),u_0())))) -> n i(i(m_(),i(SUC(),n)),i(NUMERAL(),i(BIT1(),u_0()))) -> n i(closedu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL())) -> i(i(INSERT(),a),EMPTY()) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(atn(),x)) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(atn(),x)) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_inv(),x)) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_le(),i(realu_neg(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_lt(),i(realu_neg(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(floor(),x)) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(a_(),i(frac(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(integer(),x) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_inv(),x)) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) i(i(root(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x) -> i(sqrt(),x) i(i(a_(),i(det(),A)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(w_(),i(invertible(),A)) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Im(),z)) -> i(i(realu_le(),i(Arg(),z)),pi()) i(ball(),i(i(c_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> EMPTY() i(i(a_(),i(intu_sgn(),x)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(real0(),z) i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_neg(),x)) -> i(i(realu_le(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),x) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(realu_neg(),x)) -> i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(rpow(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),z) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(cpow(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))),z) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(drop(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(a_(),i(infnorm(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(a_(),i(intu_neg(),x)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(vectoru_norm(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(a_(),i(realu_neg(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(matrixu_neg(),A)),i(mat(),i(NUMERAL(),u_0()))) -> i(i(a_(),A),i(mat(),i(NUMERAL(),u_0()))) i(i(rotate2d(),t),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(complexu_mul(),x),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_mul(),i(exp(),i(realu_neg(),x))),i(exp(),x)) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(intu_pow(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),n) -> i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(vectoru_norm(),i(cexp(),i(i(complexu_mul(),ii()),i(Cx(),t)))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(intu_neg(),x)) -> i(i(intu_le(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(intu_neg(),x)) -> i(i(intu_lt(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_le(),i(vectoru_norm(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))) i(i(realu_mul(),i(exp(),x)),i(exp(),i(realu_neg(),x))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(c_(),i(hrealu_ofu_num(),n)),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))) -> i(trealu_ofu_num(),n) i(i(a_(),i(intu_abs(),x)),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(realu_inv(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(realu_abs(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(a_(),i(realu_sgn(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(i(realu_pow(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),n) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(i(m_m_g_(),i(i(o(),Cx()),s0)),i(Cx(),l)) -> i(i(m_m_m_g_(),s0),l) i(i(m_m_g_(),i(i(o(),lift()),s0)),i(lift(),l)) -> i(i(m_m_m_g_(),s0),l) i(i(sums(),i(i(o(),lift()),f)),i(lift(),l)) -> i(i(realu_sums(),f),l) i(i(i(lifted(),op),i(SOME(),x)),i(SOME(),y)) -> i(SOME(),i(i(op,x),y)) i(i(i(COND(),b),i(f,x)),i(f,y)) -> i(f,i(i(i(COND(),b),x),y)) i(i(i(i(i(frustum(),v0),v0),h1),h2),a) -> EMPTY() i(i(i(COND(),b),i(f,x)),i(g,x)) -> i(i(i(i(COND(),b),f),g),x) i(i(s_b_(),i(P,x)),i(i(MEM(),x),l)) -> i(i(MEM(),x),i(i(FILTER(),P),l)) i(UNIONS(),i(i(IMAGE(),i(i(slice(),k),a)),s0)) -> i(i(i(slice(),k),a),i(UNIONS(),s0)) i(i(CONS(),i(f,h)),i(i(MAP(),f),t)) -> i(i(MAP(),f),i(i(CONS(),h),t)) i(i(realu_lt(),i(i(realu_add(),x),i(realu_neg(),y))),z) -> i(i(realu_lt(),x),i(i(realu_add(),z),y)) i(i(intu_lt(),i(i(intu_add(),x),i(intu_neg(),y))),z) -> i(i(intu_lt(),x),i(i(intu_add(),z),y)) i(angle(),i(i(c_(),v),i(i(c_(),u),w))) -> i(i(i(arcV(),u),v),w) i(i(d_(),i(i(d_(),i(transp(),A)),i0)),j) -> i(i(d_(),i(i(d_(),A),j)),i0) i(i(intu_lt(),y),i(i(intu_add(),x),i(intu_neg(),z))) -> i(i(intu_lt(),i(i(intu_add(),y),z)),x) i(i(realu_lt(),y),i(i(realu_add(),x),i(realu_neg(),z))) -> i(i(realu_lt(),i(i(realu_add(),y),z)),x) i(i(i(homotopicu_paths(),s0),i(reversepath(),p)),i(reversepath(),q)) -> i(i(i(homotopicu_paths(),s0),p),q) i(i(realu_div(),x),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> x i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),x) -> x i(i(d_(),i(lift(),x)),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(realu_mul(),x),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> x i(Re(),i(complex(),i(i(c_(),x),y))) -> x i(i(nsum(),i(i(INSERT(),x),EMPTY())),f) -> i(f,x) i(i(vectoru_sub(),i(i(vectoru_add(),x),y)),x) -> y i(i(vectoru_add(),y),i(i(vectoru_sub(),x),y)) -> x i(i(vectoru_add(),i(i(vectoru_sub(),x),y)),y) -> x i(g,i(vec(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(pathfinish(),g) i(i(i(i(ITLIST2(),f),NIL()),l2),b) -> b i(i(hull(),convex()),i(i(INSERT(),a),EMPTY())) -> i(i(INSERT(),a),EMPTY()) i(i(a_(),i(LENGTH(),l)),i(NUMERAL(),u_0())) -> i(i(a_(),l),NIL()) i(i(a_(),i(i(hull(),conic()),s0)),EMPTY()) -> i(i(a_(),s0),EMPTY()) i(i(a_(),i(i(hull(),convex()),s0)),EMPTY()) -> i(i(a_(),s0),EMPTY()) i(i(a_(),i(inside(),s0)),i(outside(),s0)) -> i(i(a_(),s0),UNIV()) i(i(a_(),i(i(hull(),affine()),s0)),EMPTY()) -> i(i(a_(),s0),EMPTY()) i(i(a_(),i(dim(),s0)),i(dimindex(),UNIV())) -> i(i(a_(),i(span(),s0)),UNIV()) i(i(hull(),affine()),i(i(INSERT(),a),EMPTY())) -> i(i(INSERT(),a),EMPTY()) i(i(vsum(),i(i(INSERT(),x),EMPTY())),f) -> i(f,x) i(i(i(reduced(),lab),i(NUMERAL(),u_0())),x) -> i(NUMERAL(),u_0()) i(i(m_(),m),i(i(p_(),m),n)) -> i(NUMERAL(),u_0()) i(i(m_(),n),i(i(p_(),m),n)) -> i(NUMERAL(),u_0()) i(i(i(i(ITLIST2(),f),NIL()),NIL()),b) -> b i(i(pastecart(),i(vec(),n)),i(vec(),n)) -> i(vec(),n) i(binom(),i(i(c_(),i(SUC(),n)),n)) -> i(SUC(),n) i(i(i(FCONS(),a),f),i(NUMERAL(),u_0())) -> a i(i(a_(),i(oneu_REP(),i(oneu_ABS(),r))),r) -> r i(pathfinish(),i(linepath(),i(i(c_(),a),b))) -> b i(i(vectoru_sub(),x),i(i(vectoru_sub(),x),y)) -> y i(pathstart(),i(linepath(),i(i(c_(),a),b))) -> a i(i(continuous(),i(i(o(),lift()),f)),net0) -> i(i(realu_continuous(),f),net0) i(i(a_(),i(BIT1(),m)),i(BIT0(),n)) -> F() i(i(a_(),i(BIT0(),m)),i(BIT1(),n)) -> F() i(i(pairwise(),r),i(i(INSERT(),x),EMPTY())) -> T() i(i(realu_div(),i(sin(),x)),i(cos(),x)) -> i(tan(),x) i(i(i(ITER(),i(NUMERAL(),u_0())),f),x) -> x i(i(intu_sub(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) -> i(intu_neg(),x) i(i(summable(),s0),i(i(o(),Cx()),f)) -> i(i(realu_summable(),s0),f) i(i(summable(),s0),i(i(o(),lift()),f)) -> i(i(realu_summable(),s0),f) i(i(realu_mul(),x),i(i(realu_pow(),x),n)) -> i(i(realu_pow(),x),i(SUC(),n)) i(i(p_(),i(NUMERAL(),n)),i(NUMERAL(),n)) -> i(NUMERAL(),i(BIT0(),n)) i(i(t_(),i(SUC(),n)),i(FACT(),n)) -> i(FACT(),i(SUC(),n)) i(i(intu_mul(),x),i(i(intu_pow(),x),n)) -> i(i(intu_pow(),x),i(SUC(),n)) i(i(complexu_mul(),x),i(i(complexu_pow(),x),n)) -> i(i(complexu_pow(),x),i(SUC(),n)) i(i(vectoru_sub(),i(vec(),i(NUMERAL(),u_0()))),x) -> i(vectoru_neg(),x) i(i(a_(),i(i(hull(),affine()),s0)),s0) -> i(affine(),s0) i(i(hasu_measure(),s0),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(negligible(),s0) i(i(a_(),i(relativeu_interior(),s0)),i(closure(),s0)) -> i(affine(),s0) i(i(a_(),i(openu_in(),i(topology0(),r))),r) -> i(istopology(),r) i(i(matrixu_sub(),i(mat(),i(NUMERAL(),u_0()))),A) -> i(matrixu_neg(),A) i(i(a_(),i(i(hull(),conic()),s0)),s0) -> i(conic(),s0) i(i(a_(),i(i(hull(),convex()),s0)),s0) -> i(convex(),s0) i(i(UNION(),i(inside(),s0)),i(outside(),s0)) -> i(i(DIFF(),UNIV()),s0) i(i(hasu_realu_measure(),s0),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_negligible(),s0) i(i(a_(),i(destu_cart(),i(mku_cart(),r))),r) -> T() i(i(hull(),affine()),i(i(hull(),convex()),s0)) -> i(i(hull(),affine()),s0) i(i(a_(),i(Cx(),i(Re(),z))),z) -> i(real0(),z) i(rank(),i(i(matrixu_mul(),i(transp(),A)),A)) -> i(rank(),A) i(i(hrealu_add(),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))),x) -> x i(i(a_(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(i(a_(),x),y) i(i(complexu_mul(),i(Cx(),x)),i(Cx(),y)) -> i(Cx(),i(i(realu_mul(),x),y)) i(i(realu_ge(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(i(intu_ge(),x),y) i(i(realu_div(),i(realu_abs(),x)),i(realu_abs(),y)) -> i(realu_abs(),i(i(realu_div(),x),y)) i(i(realu_gt(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(i(intu_gt(),x),y) i(i(UNION(),i(closure(),s0)),i(closure(),t)) -> i(closure(),i(i(UNION(),s0),t)) i(i(realu_le(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(i(intu_le(),x),y) i(i(realu_lt(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(i(intu_lt(),x),y) i(i(complexu_mul(),i(complexu_inv(),w)),i(complexu_inv(),z)) -> i(complexu_inv(),i(i(complexu_mul(),w),z)) i(i(m_(),i(BIT1(),m)),i(BIT1(),n)) -> i(BIT0(),i(i(m_(),m),n)) i(i(m_(),i(BIT0(),m)),i(BIT0(),n)) -> i(BIT0(),i(i(m_(),m),n)) i(i(m_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(NUMERAL(),i(i(m_(),m),n)) i(i(EXP(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(NUMERAL(),i(i(EXP(),m),n)) i(i(t_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(NUMERAL(),i(i(t_(),m),n)) i(i(p_(),i(BIT1(),m)),i(BIT0(),n)) -> i(BIT1(),i(i(p_(),m),n)) i(i(p_(),i(BIT0(),m)),i(BIT1(),n)) -> i(BIT1(),i(i(p_(),m),n)) i(i(p_(),i(BIT0(),m)),i(BIT0(),n)) -> i(BIT0(),i(i(p_(),m),n)) i(i(p_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(NUMERAL(),i(i(p_(),m),n)) i(i(realu_mul(),i(vectoru_norm(),w)),i(vectoru_norm(),z)) -> i(vectoru_norm(),i(i(complexu_mul(),w),z)) i(i(realu_add(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(realu_ofu_int(),i(i(intu_add(),x),y)) i(simpleu_path(),i(linepath(),i(i(c_(),a),b))) -> i(w_(),i(i(a_(),a),b)) i(i(matrixu_add(),i(transp(),A)),i(transp(),B)) -> i(transp(),i(i(matrixu_add(),A),B)) i(i(s_b_(),i(ODD(),m)),i(ODD(),n)) -> i(ODD(),i(i(t_(),m),n)) i(i(DIFF(),i(interior(),s0)),i(closure(),t)) -> i(interior(),i(i(DIFF(),s0),t)) i(i(realu_div(),i(realu_ofu_num(),x)),i(realu_ofu_num(),y)) -> i(i(DECIMAL(),x),y) i(i(realu_mul(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(realu_ofu_int(),i(i(intu_mul(),x),y)) i(i(realu_min(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(realu_ofu_int(),i(i(intu_min(),x),y)) i(i(vectoru_add(),i(cnj(),w)),i(cnj(),z)) -> i(cnj(),i(i(vectoru_add(),w),z)) i(i(s_b_(),i(COUNTABLE(),s0)),i(COUNTABLE(),t)) -> i(COUNTABLE(),i(i(UNION(),s0),t)) i(i(a_(),i(i(connectedu_component(),s0),x)),EMPTY()) -> i(w_(),i(i(IN(),x),s0)) i(i(realu_mul(),i(exp(),x)),i(exp(),y)) -> i(exp(),i(i(realu_add(),x),y)) i(i(hrealu_mul(),i(hrealu_ofu_num(),m)),i(hrealu_ofu_num(),n)) -> i(hrealu_ofu_num(),i(i(t_(),m),n)) i(relativeu_interior(),i(openu_segment(),i(i(c_(),a),b))) -> i(openu_segment(),i(i(c_(),a),b)) i(i(complexu_mul(),i(cexp(),w)),i(cexp(),z)) -> i(cexp(),i(i(vectoru_add(),w),z)) i(arc(),i(linepath(),i(i(c_(),a),b))) -> i(w_(),i(i(a_(),a),b)) i(i(complexu_div(),i(cnj(),w)),i(cnj(),z)) -> i(cnj(),i(i(complexu_div(),w),z)) i(i(p_(),m),i(i(t_(),m),n)) -> i(i(t_(),m),i(SUC(),n)) i(i(IN(),i(vectoru_neg(),x)),i(span(),s0)) -> i(i(IN(),x),i(span(),s0)) i(i(vectoru_sub(),i(Cx(),x)),i(Cx(),y)) -> i(Cx(),i(i(realu_sub(),x),y)) i(i(realu_mul(),i(realu_sgn(),x)),i(realu_sgn(),y)) -> i(realu_sgn(),i(i(realu_mul(),x),y)) i(i(realu_add(),i(drop(),x)),i(drop(),y)) -> i(drop(),i(i(vectoru_add(),x),y)) i(interior(),i(cball(),i(i(c_(),x),e))) -> i(ball(),i(i(c_(),x),e)) i(i(vectoru_add(),i(lift(),x)),i(lift(),y)) -> i(lift(),i(i(realu_add(),x),y)) i(i(realu_ge(),i(vectoru_norm(),x)),i(vectoru_norm(),y)) -> i(i(i(netord(),atu_infinity()),x),y) i(i(realu_mul(),i(realu_abs(),a)),i(infnorm(),x)) -> i(infnorm(),i(i(r_(),a),x)) i(i(s_b_(),i(negligible(),s0)),i(negligible(),t)) -> i(negligible(),i(i(UNION(),s0),t)) i(i(a_(),i(cnj(),z)),i(Cx(),x)) -> i(i(a_(),z),i(Cx(),x)) i(i(realu_add(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),i(i(p_(),m),n)) i(i(intu_add(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(intu_ofu_num(),i(i(p_(),m),n)) i(i(INTER(),i(interior(),s0)),i(interior(),t)) -> i(interior(),i(i(INTER(),s0),t)) i(i(realu_mul(),i(realu_abs(),x)),i(realu_abs(),y)) -> i(realu_abs(),i(i(realu_mul(),x),y)) i(i(UNION(),i(UNIONS(),s0)),i(UNIONS(),t)) -> i(UNIONS(),i(i(UNION(),s0),t)) i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)) -> i(i(vectoru_angle(),i(vectoru_neg(),x)),y) i(i(realu_sub(),i(trace(),A)),i(trace(),B)) -> i(trace(),i(i(matrixu_sub(),A),B)) i(i(realu_sub(),i(Im(),x)),i(Im(),y)) -> i(Im(),i(i(vectoru_sub(),x),y)) i(i(o(),f),i(i(ITER(),n),f)) -> i(i(ITER(),i(SUC(),n)),f) i(i(b_s_(),i(EVEN(),m)),i(EVEN(),n)) -> i(EVEN(),i(i(t_(),m),n)) i(i(realu_mul(),i(realu_inv(),x)),i(realu_inv(),y)) -> i(realu_inv(),i(i(realu_mul(),x),y)) i(i(realu_sub(),i(Re(),x)),i(Re(),y)) -> i(Re(),i(i(vectoru_sub(),x),y)) i(i(matrixu_add(),i(matrixu_neg(),A)),i(matrixu_neg(),B)) -> i(matrixu_neg(),i(i(matrixu_add(),A),B)) i(i(vectoru_add(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(vectoru_neg(),i(i(vectoru_add(),x),y)) i(i(INTER(),i(INTERS(),s0)),i(INTERS(),t)) -> i(INTERS(),i(i(UNION(),s0),t)) i(i(intu_mul(),i(intu_abs(),x)),i(intu_abs(),y)) -> i(intu_abs(),i(i(intu_mul(),x),y)) i(i(intu_add(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(intu_neg(),i(i(intu_add(),x),y)) i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)) -> i(i(vectoru_angle(),x),i(vectoru_neg(),y)) i(i(a_(),i(i(pathu_component(),s0),x)),EMPTY()) -> i(w_(),i(i(IN(),x),s0)) i(i(openu_in(),i(i(subtopology(),top),u)),u) -> i(i(SUBSET(),u),i(topspace(),top)) i(i(vectoru_sub(),i(sndcart(),x)),i(sndcart(),y)) -> i(sndcart(),i(i(vectoru_sub(),x),y)) i(i(vectoru_add(),i(Cx(),x)),i(Cx(),y)) -> i(Cx(),i(i(realu_add(),x),y)) i(i(complexu_mul(),i(cnj(),w)),i(cnj(),z)) -> i(cnj(),i(i(complexu_mul(),w),z)) i(reversepath(),i(linepath(),i(i(c_(),a),b))) -> i(linepath(),i(i(c_(),b),a)) i(i(APPEND(),i(REVERSE(),m)),i(REVERSE(),l)) -> i(REVERSE(),i(i(APPEND(),l),m)) i(UNIONS(),i(i(IMAGE(),i(IMAGE(),f)),s0)) -> i(i(IMAGE(),f),i(UNIONS(),s0)) i(i(a_(),i(EVEN(),m)),i(EVEN(),n)) -> i(EVEN(),i(i(p_(),m),n)) i(i(p_(),i(LENGTH(),l)),i(LENGTH(),m)) -> i(LENGTH(),i(i(APPEND(),l),m)) i(i(vectoru_sub(),i(fstcart(),x)),i(fstcart(),y)) -> i(fstcart(),i(i(vectoru_sub(),x),y)) i(i(t_(),m),i(i(EXP(),m),n)) -> i(i(EXP(),m),i(SUC(),n)) i(i(complexu_div(),i(Cx(),x)),i(Cx(),y)) -> i(Cx(),i(i(realu_div(),x),y)) i(i(closedu_in(),i(i(subtopology(),top),u)),u) -> i(i(SUBSET(),u),i(topspace(),top)) i(setdist(),i(i(c_(),s0),i(closure(),t))) -> i(setdist(),i(i(c_(),s0),t)) i(setdist(),i(i(c_(),i(closure(),s0)),t)) -> i(setdist(),i(i(c_(),s0),t)) i(i(s_b_(),i(realu_bounded(),s0)),i(realu_bounded(),t)) -> i(realu_bounded(),i(i(UNION(),s0),t)) i(i(realu_max(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(realu_ofu_int(),i(i(intu_max(),x),y)) i(i(realu_div(),i(vectoru_norm(),w)),i(vectoru_norm(),z)) -> i(vectoru_norm(),i(i(complexu_div(),w),z)) i(i(UNION(),i(setu_ofu_list(),l1)),i(setu_ofu_list(),l2)) -> i(setu_ofu_list(),i(i(APPEND(),l1),l2)) i(i(realu_add(),i(trace(),A)),i(trace(),B)) -> i(trace(),i(i(matrixu_add(),A),B)) i(i(realu_add(),i(Im(),x)),i(Im(),y)) -> i(Im(),i(i(vectoru_add(),x),y)) i(i(realu_mul(),i(det(),A)),i(det(),B)) -> i(det(),i(i(matrixu_mul(),A),B)) i(i(hrealu_add(),i(hrealu_ofu_num(),m)),i(hrealu_ofu_num(),n)) -> i(hrealu_ofu_num(),i(i(p_(),m),n)) i(i(s_b_(),i(FINITE(),s0)),i(FINITE(),t)) -> i(FINITE(),i(i(UNION(),s0),t)) i(i(realu_sub(),i(realu_ofu_int(),x)),i(realu_ofu_int(),y)) -> i(realu_ofu_int(),i(i(intu_sub(),x),y)) i(i(realu_add(),i(Re(),x)),i(Re(),y)) -> i(Re(),i(i(vectoru_add(),x),y)) i(i(matrixu_sub(),i(transp(),A)),i(transp(),B)) -> i(transp(),i(i(matrixu_sub(),A),B)) i(i(realu_max(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),i(i(MAX(),m),n)) i(i(realu_min(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),i(i(MIN(),m),n)) i(i(intu_max(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(intu_ofu_num(),i(i(MAX(),m),n)) i(i(vectoru_sub(),i(cnj(),w)),i(cnj(),z)) -> i(cnj(),i(i(vectoru_sub(),w),z)) i(i(realu_mul(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),i(i(t_(),m),n)) i(i(intu_min(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(intu_ofu_num(),i(i(MIN(),m),n)) i(i(realu_add(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(realu_neg(),i(i(realu_add(),x),y)) i(i(intu_mul(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(intu_ofu_num(),i(i(t_(),m),n)) i(i(s_b_(),i(bounded(),s0)),i(bounded(),t)) -> i(bounded(),i(i(UNION(),s0),t)) i(i(intu_divides(),i(intu_ofu_num(),a)),i(intu_ofu_num(),b)) -> i(i(numu_divides(),a),b) i(i(realu_div(),i(exp(),x)),i(exp(),y)) -> i(exp(),i(i(realu_sub(),x),y)) i(i(realu_mul(),i(realu_abs(),a)),i(vectoru_norm(),x)) -> i(vectoru_norm(),i(i(r_(),a),x)) i(i(pastecart(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(vectoru_neg(),i(i(pastecart(),x),y)) i(i(vectoru_add(),i(sndcart(),x)),i(sndcart(),y)) -> i(sndcart(),i(i(vectoru_add(),x),y)) i(i(s_b_(),i(realu_negligible(),s0)),i(realu_negligible(),t)) -> i(realu_negligible(),i(i(UNION(),s0),t)) i(i(complexu_div(),i(cexp(),w)),i(cexp(),z)) -> i(cexp(),i(i(vectoru_sub(),w),z)) i(i(realu_div(),i(realu_sgn(),x)),i(realu_sgn(),y)) -> i(realu_sgn(),i(i(realu_div(),x),y)) i(i(s_b_(),i(FINITE(),s0)),i(FINITE(),t)) -> i(FINITE(),i(i(p_u_c(),s0),t)) i(i(intu_mul(),i(intu_sgn(),x)),i(intu_sgn(),y)) -> i(intu_sgn(),i(i(intu_mul(),x),y)) i(intu_ofu_real(),i(i(realu_pow(),i(realu_ofu_int(),x)),n)) -> i(i(intu_pow(),x),n) i(i(vectoru_add(),i(fstcart(),x)),i(fstcart(),y)) -> i(fstcart(),i(i(vectoru_add(),x),y)) i(i(realu_sub(),i(drop(),x)),i(drop(),y)) -> i(drop(),i(i(vectoru_sub(),x),y)) i(i(vectoru_sub(),i(lift(),x)),i(lift(),y)) -> i(lift(),i(i(realu_sub(),x),y)) i(i(matrixu_mul(),i(transp(),B)),i(transp(),A)) -> i(transp(),i(i(matrixu_mul(),A),B)) i(inverse(),i(swap(),i(i(c_(),a),b))) -> i(swap(),i(i(c_(),a),b)) i(i(hrealu_add(),n),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))) -> n i(i(a_(),i(i(connectedu_component(),s0),x)),UNIV()) -> i(i(a_(),s0),UNIV()) i(i(permutes(),p),i(i(INSERT(),a),EMPTY())) -> i(i(a_(),p),I()) i(i(a_(),i(i(IMAGE(),f),s0)),EMPTY()) -> i(i(a_(),s0),EMPTY()) i(i(a_(),i(i(INTER(),s0),t)),EMPTY()) -> i(i(DISJOINT(),s0),t) i(i(a_(),i(i(MAP(),f),l)),NIL()) -> i(i(a_(),l),NIL()) i(i(a_(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(i(a_(),x),y) i(i(realu_mul(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(i(realu_mul(),x),y) i(i(intu_sub(),x),i(i(intu_add(),x),y)) -> i(intu_neg(),y) i(i(realu_sub(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(i(realu_sub(),y),x) i(i(p_(),i(i(t_(),m),n)),n) -> i(i(t_(),i(SUC(),m)),n) i(i(g_(),i(BIT1(),n)),i(BIT1(),m)) -> i(i(g_(),n),m) i(i(g_(),i(BIT0(),n)),i(BIT1(),m)) -> i(i(g_(),n),m) i(i(g_(),i(BIT1(),n)),i(BIT0(),m)) -> i(i(g_a_(),n),m) i(i(g_(),i(BIT0(),n)),i(BIT0(),m)) -> i(i(g_(),n),m) i(i(g_(),i(NUMERAL(),n)),i(NUMERAL(),m)) -> i(i(g_(),n),m) i(i(g_a_(),i(BIT1(),n)),i(BIT1(),m)) -> i(i(g_a_(),n),m) i(i(g_a_(),i(BIT0(),n)),i(BIT1(),m)) -> i(i(g_(),n),m) i(i(g_a_(),i(BIT1(),n)),i(BIT0(),m)) -> i(i(g_a_(),n),m) i(i(g_a_(),i(BIT0(),n)),i(BIT0(),m)) -> i(i(g_a_(),n),m) i(i(g_a_(),i(NUMERAL(),n)),i(NUMERAL(),m)) -> i(i(g_a_(),n),m) i(i(l_(),i(BIT1(),m)),i(BIT1(),n)) -> i(i(l_(),m),n) i(i(l_(),i(BIT1(),m)),i(BIT0(),n)) -> i(i(l_(),m),n) i(i(l_(),i(BIT0(),m)),i(BIT1(),n)) -> i(i(l_a_(),m),n) i(i(l_(),i(BIT0(),m)),i(BIT0(),n)) -> i(i(l_(),m),n) i(i(l_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(i(l_(),m),n) i(i(l_a_(),i(BIT1(),m)),i(BIT1(),n)) -> i(i(l_a_(),m),n) i(i(l_a_(),i(BIT1(),m)),i(BIT0(),n)) -> i(i(l_(),m),n) i(i(l_a_(),i(BIT0(),m)),i(BIT1(),n)) -> i(i(l_a_(),m),n) i(i(l_a_(),i(BIT0(),m)),i(BIT0(),n)) -> i(i(l_a_(),m),n) i(i(l_a_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(i(l_a_(),m),n) i(i(a_(),i(BIT1(),m)),i(BIT1(),n)) -> i(i(a_(),m),n) i(i(a_(),i(BIT0(),m)),i(BIT0(),n)) -> i(i(a_(),m),n) i(i(a_(),i(NUMERAL(),m)),i(NUMERAL(),n)) -> i(i(a_(),m),n) i(i(product(),i(i(o_o_(),n),n)),f) -> i(f,n) i(i(realu_sub(),x),i(i(realu_add(),x),y)) -> i(realu_neg(),y) i(Re(),i(i(complexu_div(),z),i(Cx(),x))) -> i(i(realu_div(),i(Re(),z)),x) i(i(a_(),i(SUC(),m)),i(SUC(),n)) -> i(i(a_(),m),n) i(PRE(),i(i(m_(),i(SUC(),m)),n)) -> i(i(m_(),m),n) i(i(hasu_measure(),i(i(IMAGE(),lift()),s0)),m) -> i(i(hasu_realu_measure(),s0),m) i(i(intu_lt(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(intu_lt(),y),x) i(i(realu_lt(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(i(realu_lt(),y),x) i(i(a_(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(i(a_(),m),n) i(i(realu_ge(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(i(g_a_(),m),n) i(i(realu_gt(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(i(g_(),m),n) i(i(realu_le(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(i(l_a_(),m),n) i(i(realu_lt(),i(realu_ofu_num(),m)),i(realu_ofu_num(),n)) -> i(i(l_(),m),n) i(i(realu_sub(),i(i(realu_sub(),x),y)),x) -> i(realu_neg(),y) i(i(a_a_g_(),i(w_(),t1)),i(w_(),t2)) -> i(i(a_a_g_(),t2),t1) i(i(realu_le(),i(exp(),x)),i(exp(),y)) -> i(i(realu_le(),x),y) i(i(l_(),i(SUC(),m)),i(SUC(),n)) -> i(i(l_(),m),n) i(i(realu_lt(),i(exp(),x)),i(exp(),y)) -> i(i(realu_lt(),x),y) i(i(a_(),i(INDu_SUC(),x1)),i(INDu_SUC(),x2)) -> i(i(a_(),x1),x2) i(i(a_(),i(exp(),x)),i(exp(),y)) -> i(i(a_(),x),y) i(i(intu_le(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(intu_le(),y),x) i(i(trealu_eq(),i(trealu_ofu_num(),m)),i(trealu_ofu_num(),n)) -> i(i(a_(),m),n) i(i(realu_le(),i(atn(),x)),i(atn(),y)) -> i(i(realu_le(),x),y) i(i(trealu_le(),i(trealu_ofu_num(),m)),i(trealu_ofu_num(),n)) -> i(i(l_a_(),m),n) i(i(a_(),i(INJN(),n10)),i(INJN(),n20)) -> i(i(a_(),n10),n20) i(i(m_(),i(SUC(),m)),i(SUC(),n)) -> i(i(m_(),m),n) i(i(naddu_eq(),i(naddu_ofu_num(),m)),i(naddu_ofu_num(),n)) -> i(i(a_(),m),n) i(i(naddu_le(),i(naddu_ofu_num(),m)),i(naddu_ofu_num(),n)) -> i(i(l_a_(),m),n) i(exp(),i(i(realu_mul(),i(realu_ofu_num(),n)),x)) -> i(i(realu_pow(),i(exp(),x)),n) i(i(a_(),i(hrealu_ofu_num(),m)),i(hrealu_ofu_num(),n)) -> i(i(a_(),m),n) i(i(a_(),i(lift(),x)),i(lift(),y)) -> i(i(a_(),x),y) i(i(hrealu_le(),i(hrealu_ofu_num(),m)),i(hrealu_ofu_num(),n)) -> i(i(l_a_(),m),n) i(i(a_(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(a_(),x),y) i(i(a_(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(i(a_(),m),n) i(i(intu_ge(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(i(g_a_(),m),n) i(i(intu_gt(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(i(g_(),m),n) i(i(intu_le(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(i(l_a_(),m),n) i(i(intu_lt(),i(intu_ofu_num(),m)),i(intu_ofu_num(),n)) -> i(i(l_(),m),n) i(i(realu_lt(),i(atn(),x)),i(atn(),y)) -> i(i(realu_lt(),x),y) i(i(realu_le(),i(realu_neg(),x)),i(realu_neg(),y)) -> i(i(realu_le(),y),x) i(i(nsum(),i(i(o_o_(),n),n)),f) -> i(f,n) i(i(a_(),i(atn(),x)),i(atn(),y)) -> i(i(a_(),x),y) i(i(a_(),i(i(o_o_(),m),n)),EMPTY()) -> i(i(l_(),n),m) i(Im(),i(i(complexu_div(),z),i(Cx(),x))) -> i(i(realu_div(),i(Im(),z)),x) i(i(a_(),i(Cx(),x)),i(Cx(),y)) -> i(i(a_(),x),y) i(i(l_a_(),i(SUC(),m)),i(SUC(),n)) -> i(i(l_a_(),m),n) i(i(a_(),i(realu_inv(),x)),i(realu_inv(),y)) -> i(i(a_(),x),y) i(i(intu_mul(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(intu_mul(),x),y) i(i(intu_sub(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(intu_sub(),y),x) i(i(sum(),i(i(o_o_(),n),n)),f) -> i(f,n) i(i(intu_sub(),i(i(intu_sub(),x),y)),x) -> i(intu_neg(),y) i(i(a_(),i(vec(),m)),i(vec(),n)) -> i(i(a_(),m),n) i(csqrt(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(casn(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(intu_abs(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(complexu_inv(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(ctan(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(realu_abs(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(sqrt(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(det(),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(vectoru_neg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(vectoru_norm(),i(basis(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) i(csin(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) i(REPu_prod(),i(ABSu_prod(),i(i(mku_pair(),x),y))) -> i(i(mku_pair(),x),y) i(i(a_(),i(INR(),a)),i(INR(),ai_)) -> i(i(a_(),a),ai_) i(i(a_(),i(INJA(),a1)),i(INJA(),a2)) -> i(i(a_(),a1),a2) i(i(a_(),i(INL(),a)),i(INL(),ai_)) -> i(i(a_(),a),ai_) i(i(IN(),x),i(i(INSERT(),y),EMPTY())) -> i(i(a_(),x),y) i(evenperm(),i(swap(),i(i(c_(),a),b))) -> i(i(a_(),a),b) i(i(DELETE(),i(i(DELETE(),s0),x)),x) -> i(i(DELETE(),s0),x) i(basis(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> ii() i(i(vectoru_sub(),x),i(i(vectoru_add(),x),y)) -> i(vectoru_neg(),y) i(i(SUBSET(),i(i(INSERT(),x),EMPTY())),s0) -> i(i(IN(),x),s0) i(i(INSERT(),x),i(i(INSERT(),x),s0)) -> i(i(INSERT(),x),s0) i(i(between(),x),i(i(c_(),a),a)) -> i(i(a_(),x),a) i(i(a_(),i(INJF(),f1)),i(INJF(),f2)) -> i(i(a_(),f1),f2) i(i(a_(),i(i(INSERT(),x),s0)),s0) -> i(i(IN(),x),s0) i(i(a_(),i(i(UNION(),s0),t)),t) -> i(i(SUBSET(),s0),t) i(i(complexu_mul(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(i(complexu_mul(),x),y) i(i(vectoru_sub(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(i(vectoru_sub(),y),x) i(i(IN(),x),i(i(IMAGE(),drop()),s0)) -> i(i(IN(),i(lift(),x)),s0) i(i(IN(),x),i(i(IMAGE(),lift()),s0)) -> i(i(IN(),i(drop(),x)),s0) i(i(a_(),i(transp(),A)),i(transp(),B)) -> i(i(a_(),A),B) i(i(a_(),i(cnj(),w)),i(cnj(),z)) -> i(i(a_(),w),z) i(i(vectoru_angle(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(i(vectoru_angle(),x),y) i(i(vectoru_sub(),i(i(vectoru_sub(),x),y)),x) -> i(vectoru_neg(),y) i(FINITE(),i(openu_segment(),i(i(c_(),a),b))) -> i(i(a_(),a),b) i(i(a_(),i(drop(),x)),i(drop(),y)) -> i(i(a_(),x),y) i(i(connectedu_component(),i(i(connectedu_component(),s0),x)),x) -> i(i(connectedu_component(),s0),x) i(i(a_(),i(vectoru_neg(),x)),i(vectoru_neg(),y)) -> i(i(a_(),x),y) i(i(affu_ge(),i(i(DIFF(),s0),t)),t) -> i(i(affu_ge(),s0),t) i(i(pathu_component(),i(i(pathu_component(),s0),x)),x) -> i(i(pathu_component(),s0),x) i(i(DIFF(),i(i(DIFF(),s0),t)),t) -> i(i(DIFF(),s0),t) i(i(a_(),i(u_destu_rec(),x)),i(u_destu_rec(),y)) -> i(i(a_(),x),y) i(i(extremeu_pointu_of(),x),i(i(INSERT(),a),EMPTY())) -> i(i(a_(),x),a) i(i(faceu_of(),i(i(INSERT(),x),EMPTY())),s0) -> i(i(extremeu_pointu_of(),x),s0) i(i(a_(),i(i(INTER(),s0),t)),s0) -> i(i(SUBSET(),s0),t) i(i(hull(),P),i(i(hull(),P),s0)) -> i(i(hull(),P),s0) i(i(a_(),i(i(DELETE(),s0),x)),s0) -> i(w_(),i(i(IN(),x),s0)) i(i(o(),i(i(ITER(),n),f)),f) -> i(i(ITER(),i(SUC(),n)),f) i(i(MOD(),n),i(NUMERAL(),i(BIT1(),u_0()))) -> i(NUMERAL(),u_0()) i(trace(),i(mat(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(dimindex(),UNIV())) i(i(a_(),i(dimindex(),UNIV())),i(dimindex(),UNIV())) -> i(i(homeomorphic(),UNIV()),UNIV()) i(i(p_(),i(dimindex(),UNIV())),i(dimindex(),UNIV())) -> i(dimindex(),UNIV()) i(i(cross(),x),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(i(cross(),i(vec(),i(NUMERAL(),u_0()))),x) -> i(vec(),i(NUMERAL(),u_0())) i(tan(),i(i(realu_mul(),i(realu_ofu_num(),n)),pi())) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(dot(),i(vec(),i(NUMERAL(),u_0()))),x) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(r_r_(),c),i(mat(),i(NUMERAL(),u_0()))) -> i(mat(),i(NUMERAL(),u_0())) i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(matrixu_mul(),i(mat(),i(NUMERAL(),u_0()))),A) -> i(mat(),i(NUMERAL(),u_0())) i(binom(),i(i(c_(),n),i(NUMERAL(),u_0()))) -> i(NUMERAL(),i(BIT1(),u_0())) i(i(r_(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) -> i(vec(),i(NUMERAL(),u_0())) i(i(dot(),x),i(vec(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(realu_mul(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(matrixu_mul(),A),i(mat(),i(NUMERAL(),u_0()))) -> i(mat(),i(NUMERAL(),u_0())) i(i(hrealu_mul(),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))),m) -> i(hrealu_ofu_num(),i(NUMERAL(),u_0())) i(sin(),i(i(realu_mul(),i(realu_ofu_num(),n)),pi())) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(intu_mul(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(i(hrealu_mul(),m),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))) -> i(hrealu_ofu_num(),i(NUMERAL(),u_0())) i(i(matrixu_vectoru_mul(),i(mat(),i(NUMERAL(),u_0()))),x) -> i(vec(),i(NUMERAL(),u_0())) i(i(intu_mul(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(i(EXP(),i(NUMERAL(),i(BIT1(),u_0()))),n) -> i(NUMERAL(),i(BIT1(),u_0())) i(i(r_r_(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),A) -> i(mat(),i(NUMERAL(),u_0())) i(i(matrixu_vectoru_mul(),A),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(basis(),i(NUMERAL(),i(BIT1(),u_0()))) i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(cos(),pi()) i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(neutral(),complexu_mul()) i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(affu_dim(),EMPTY()) i(i(a_(),i(destu_nadd(),i(mku_nadd(),r))),r) -> i(isu_nadd(),r) i(i(UNION(),p),i(i(UNION(),p),q)) -> i(i(UNION(),p),q) i(i(INTER(),p),i(i(INTER(),p),q)) -> i(i(INTER(),p),q) i(i(s_b_(),p),i(i(s_b_(),p),q)) -> i(i(s_b_(),p),q) i(i(b_s_(),p),i(i(b_s_(),p),q)) -> i(i(b_s_(),p),q) i(i(realu_sub(),x),i(i(realu_sub(),x),y)) -> y i(i(realu_add(),y),i(i(realu_sub(),x),y)) -> x i(i(realu_sub(),i(i(realu_add(),x),y)),x) -> y i(i(realu_add(),i(i(realu_sub(),x),y)),y) -> x i(Im(),i(complex(),i(i(c_(),x),y))) -> y i(i(CONS(),x),i(i(REPLICATE(),n),x)) -> i(i(REPLICATE(),i(SUC(),n)),x) i(i(sum(),i(i(INSERT(),x),EMPTY())),f) -> i(f,x) i(i(rotate2d(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),z) -> z i(i(intu_add(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x) -> x i(i(intu_sub(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> x i(i(complexu_pow(),x),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(intu_add(),x),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> x i(i(intu_mul(),i(intu_sgn(),x)),i(intu_abs(),x)) -> x i(i(pastecart(),i(fstcart(),z)),i(sndcart(),z)) -> z i(i(IMAGE(),i(i(o(),drop()),lift())),s0) -> s0 i(i(IMAGE(),i(i(o(),lift()),drop())),s0) -> s0 i(i(intu_pow(),x),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(matrixu_add(),i(mat(),i(NUMERAL(),u_0()))),A) -> A i(i(matrixu_add(),A),i(mat(),i(NUMERAL(),u_0()))) -> A i(i(c_(),i(FST(),x)),i(SND(),x)) -> x i(i(matrixu_sub(),A),i(mat(),i(NUMERAL(),u_0()))) -> A i(i(vectoru_add(),i(vec(),i(NUMERAL(),u_0()))),x) -> x i(i(vectoru_add(),x),i(vec(),i(NUMERAL(),u_0()))) -> x i(i(m_(),i(i(p_(),m),n)),n) -> m i(i(m_(),i(i(p_(),m),n)),m) -> n i(i(t_(),i(NUMERAL(),i(BIT1(),u_0()))),n) -> n i(i(DIV(),n),i(NUMERAL(),i(BIT1(),u_0()))) -> n i(dist(),i(i(c_(),i(NUMERAL(),u_0())),n)) -> n i(i(EXP(),n),i(NUMERAL(),i(BIT1(),u_0()))) -> n i(dist(),i(i(c_(),n),i(NUMERAL(),u_0()))) -> n i(i(t_(),m),i(NUMERAL(),i(BIT1(),u_0()))) -> m i(i(intu_max(),x),i(i(intu_max(),x),y)) -> i(i(intu_max(),x),y) i(i(intu_min(),x),i(i(intu_min(),x),y)) -> i(i(intu_min(),x),y) i(acs(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(log(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(r_(),c),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(i(dropout(),k),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(vectoru_norm(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(Arg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(vectoru_sub(),x),i(vec(),i(NUMERAL(),u_0()))) -> x i(i(realu_min(),x),i(i(realu_min(),x),y)) -> i(i(realu_min(),x),y) i(i(realu_max(),x),i(i(realu_max(),x),y)) -> i(i(realu_max(),x),y) i(i(intu_add(),y),i(i(intu_sub(),x),y)) -> x i(i(intu_add(),i(i(intu_sub(),x),y)),y) -> x i(i(intu_sub(),i(i(intu_add(),x),y)),x) -> y i(i(intu_sub(),x),i(i(intu_sub(),x),y)) -> y i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY()) -> i(span(),EMPTY()) i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY()) -> i(i(hull(),convexu_cone()),EMPTY()) i(i(vsum(),i(i(o_o_(),n),n)),f) -> i(f,n) i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) -> i(realu_neg(),x) i(i(a_(),i(realu_ofu_int(),i(intu_ofu_real(),r))),r) -> i(integer(),r) i(i(s_b_(),i(realu_bounded(),s0)),i(realu_closed(),s0)) -> i(realu_compact(),s0) i(i(DIFF(),i(closure(),s0)),i(interior(),s0)) -> i(frontier(),s0) i(i(complexu_div(),i(csin(),z)),i(ccos(),z)) -> i(ctan(),z) i(i(s_b_(),i(bounded(),s0)),i(closed(),s0)) -> i(compact(),s0) i(i(b_s_(),i(rotationu_matrix(),Q)),i(rotoinversionu_matrix(),Q)) -> i(orthogonalu_matrix(),Q) i(i(s_b_(),i(polyhedron(),s0)),i(bounded(),s0)) -> i(polytope(),s0) i(trivialu_limit(),i(i(within(),i(at(),a)),s0)) -> i(w_(),i(i(limitu_pointu_of(),a),s0)) i(i(INTER(),i(inside(),s0)),i(outside(),s0)) -> EMPTY() i(i(p_(),m),i(NUMERAL(),i(BIT1(),u_0()))) -> i(SUC(),m) i(w_(),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(l_(),i(NUMERAL(),u_0())),n) i(i(d_(),z),i(NUMERAL(),i(BIT1(),u_0()))) -> i(Re(),z) i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))) -> i(drop(),x) i(i(continuous(),i(i(o(),Cx()),f)),net0) -> i(i(realu_continuous(),f),net0) i(i(product(),i(i(INSERT(),x),EMPTY())),f) -> i(f,x) i(i(s_b_(),P),i(i(a_(),v),t)) -> i(i(i(SETSPEC(),v),P),t) i(i(intu_divides(),n),i(i(intu_sub(),x),y)) -> i(i(i(intu_mod(),n),x),y) i(pathstart(),i(i(i(subpath(),u),v),g)) -> i(g,u) i(i(i(FCONS(),a),f),i(SUC(),n)) -> i(f,n) i(reversepath(),i(i(i(subpath(),u),v),g)) -> i(i(i(subpath(),v),u),g) i(i(UNCURRY(),f),i(i(c_(),x),y)) -> i(i(f,x),y) i(pathfinish(),i(i(i(subpath(),u),v),g)) -> i(g,v) i(i(i(i(conicu_cap(),v0),v0),r),a) -> EMPTY() i(i(realu_add(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x) -> x i(i(realu_pow(),x),i(NUMERAL(),i(BIT1(),u_0()))) -> x i(i(realu_add(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> x i(i(realu_sub(),x),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> x i(i(realu_mul(),i(realu_sgn(),x)),i(realu_abs(),x)) -> x i(i(i(ITLIST(),f),NIL()),b) -> b i(LAST(),i(i(CONS(),h),NIL())) -> h i(HD(),i(i(CONS(),h),t)) -> h i(relativeu_interior(),i(i(INSERT(),a),EMPTY())) -> i(i(INSERT(),a),EMPTY()) i(i(measurableu_on(),i(indicator(),s0)),UNIV()) -> i(lebesgueu_measurable(),s0) i(i(a_(),i(setu_ofu_list(),l)),EMPTY()) -> i(i(a_(),l),NIL()) i(i(a_(),i(closure(),s0)),EMPTY()) -> i(i(a_(),s0),EMPTY()) i(i(HASu_SIZE(),s0),i(NUMERAL(),u_0())) -> i(i(a_(),s0),EMPTY()) i(RC(),i(TC(),i(SC(),R))) -> i(RSTC(),R) i(UNIONS(),i(i(INSERT(),s0),EMPTY())) -> s0 i(INTERS(),i(i(INSERT(),s0),EMPTY())) -> s0 i(i(EL(),i(NUMERAL(),u_0())),l) -> i(HD(),l) i(i(higheru_complexu_derivative(),i(NUMERAL(),u_0())),f) -> f i(i(subtopology(),top),i(topspace(),top)) -> top i(i(m_(),i(BIT1(),n)),u_0()) -> i(BIT1(),n) i(i(m_(),i(BIT0(),n)),u_0()) -> i(BIT0(),n) i(i(g_a_(),u_0()),i(BIT0(),n)) -> i(i(g_a_(),u_0()),n) i(i(l_(),u_0()),i(BIT0(),n)) -> i(i(l_(),u_0()),n) i(i(a_(),u_0()),i(BIT0(),n)) -> i(i(a_(),u_0()),n) i(i(p_(),i(BIT1(),n)),u_0()) -> i(BIT1(),n) i(i(p_(),i(BIT0(),n)),u_0()) -> i(BIT0(),n) i(i(p_(),u_0()),i(BIT1(),n)) -> i(BIT1(),n) i(i(p_(),u_0()),i(BIT0(),n)) -> i(BIT0(),n) i(vectoru_norm(),i(Cx(),i(realu_ofu_num(),n))) -> i(realu_ofu_num(),n) i(SND(),i(i(c_(),x),y)) -> y i(FST(),i(i(c_(),x),y)) -> x i(i(i(COND(),b),t),t) -> t i(NULL(),i(i(CONS(),h),t)) -> F() i(fstcart(),i(i(pastecart(),x),y)) -> x i(sndcart(),i(i(pastecart(),x),y)) -> y i(intu_ofu_real(),i(realu_sgn(),i(realu_ofu_int(),x))) -> i(intu_sgn(),x) i(Re(),i(csin(),i(Cx(),x))) -> i(sin(),x) i(intu_ofu_real(),i(realu_abs(),i(realu_ofu_int(),x))) -> i(intu_abs(),x) i(Re(),i(ctan(),i(Cx(),x))) -> i(tan(),x) i(Cx(),i(vectoru_norm(),i(Cx(),x))) -> i(Cx(),i(realu_abs(),x)) i(SUC(),i(SUC(),i(BIT0(),n))) -> i(BIT0(),i(SUC(),n)) i(Re(),i(cacs(),i(Cx(),x))) -> i(acs(),x) i(Re(),i(casn(),i(Cx(),x))) -> i(asn(),x) i(Re(),i(catn(),i(Cx(),x))) -> i(atn(),x) i(Re(),i(ccos(),i(Cx(),x))) -> i(cos(),x) i(intu_ofu_real(),i(realu_neg(),i(realu_ofu_int(),i0))) -> i(intu_neg(),i0) i(Re(),i(cexp(),i(Cx(),x))) -> i(exp(),x) i(mku_num(),i(INDu_SUC(),i(destu_num(),n))) -> i(SUC(),n) i(i(i(MAP2(),f),NIL()),NIL()) -> NIL() i(sin(),i(i(realu_add(),x),pi())) -> i(realu_neg(),i(sin(),x)) i(i(realu_div(),x),i(realu_abs(),x)) -> i(realu_sgn(),x) i(i(realu_lt(),i(floor(),x)),x) -> i(w_(),i(integer(),x)) i(cos(),i(i(realu_add(),x),pi())) -> i(realu_neg(),i(cos(),x)) i(i(realu_sub(),x),i(floor(),x)) -> i(frac(),x) i(bounded(),i(i(IMAGE(),lift()),s0)) -> i(realu_bounded(),s0) i(i(vectoru_add(),w),i(vectoru_neg(),z)) -> i(i(vectoru_sub(),w),z) i(SUC(),i(i(p_(),n),n)) -> i(BIT1(),n) i(affu_dim(),i(i(hull(),affine()),s0)) -> i(affu_dim(),s0) i(frontier(),i(i(DIFF(),UNIV()),s0)) -> i(frontier(),s0) i(i(SUBSET(),i(closure(),s0)),s0) -> i(closed(),s0) i(lebesgueu_measurable(),i(i(DIFF(),UNIV()),s0)) -> i(lebesgueu_measurable(),s0) i(i(a_(),i(closure(),s0)),s0) -> i(closed(),s0) i(collinear(),i(i(hull(),convex()),s0)) -> i(collinear(),s0) i(diameter(),i(i(hull(),convex()),s0)) -> i(diameter(),s0) i(affu_dim(),i(i(hull(),convex()),s0)) -> i(affu_dim(),s0) i(i(i(affsign(),sgnu_gt()),EMPTY()),S) -> i(conv0(),S) i(i(a_(),i(interior(),s0)),s0) -> i(open(),s0) i(bounded(),i(i(hull(),convex()),s0)) -> i(bounded(),s0) i(coplanar(),i(i(hull(),affine()),s0)) -> i(coplanar(),s0) i(i(SUBSET(),i(frontier(),s0)),s0) -> i(closed(),s0) i(collinear(),i(i(hull(),affine()),s0)) -> i(collinear(),s0) i(relativeu_interior(),i(i(hull(),affine()),s0)) -> i(i(hull(),affine()),s0) i(realu_lebesgueu_measurable(),i(i(DIFF(),UNIV()),s0)) -> i(realu_lebesgueu_measurable(),s0) i(i(within(),i(at(),x)),UNIV()) -> i(at(),x) i(i(a_(),i(span(),s0)),s0) -> i(subspace(),s0) i(i(hull(),affine()),i(closure(),s0)) -> i(i(hull(),affine()),s0) i(i(a_(),i(cnj(),z)),z) -> i(real0(),z) i(i(vectoru_matrixu_mul(),x),i(transp(),A)) -> i(i(matrixu_vectoru_mul(),A),x) i(i(realu_add(),x),i(realu_neg(),y)) -> i(i(realu_sub(),x),y) i(i(destu_cart(),x),i(finiteu_index(),i0)) -> i(i(d_(),x),i0) i(w_(),i(i(intu_le(),y),x)) -> i(i(intu_lt(),x),y) i(i(complexu_mul(),w),i(complexu_inv(),z)) -> i(i(complexu_div(),w),z) i(openu_interval(),i(i(c_(),a),b)) -> i(i(rect(),a),b) i(i(realu_mul(),x),i(realu_inv(),y)) -> i(i(realu_div(),x),y) i(i(matrixu_add(),A),i(matrixu_neg(),B)) -> i(i(matrixu_sub(),A),B) i(pathfinish(),i(i(o(),f),p)) -> i(f,i(pathfinish(),p)) i(i(intu_add(),x),i(intu_neg(),y)) -> i(i(intu_sub(),x),y) i(LENGTH(),i(i(CONS(),h),t)) -> i(SUC(),i(LENGTH(),t)) i(vectoru_neg(),i(i(cross(),y),x)) -> i(i(cross(),x),y) i(ball(),i(i(c_(),z),r)) -> i(i(normball(),z),r) i(matrix(),i(i(frechetu_derivative(),f),net0)) -> i(i(jacobian(),f),net0) i(pathstart(),i(i(o(),f),p)) -> i(f,i(pathstart(),p)) i(w_(),i(i(realu_le(),y),x)) -> i(i(realu_lt(),x),y) i(ABSu_prod(),i(i(mku_pair(),x),y)) -> i(i(c_(),x),y) i(i(intu_sub(),x),i(intu_neg(),y)) -> i(i(intu_add(),x),y) i(realu_inv(),i(i(realu_div(),x),y)) -> i(i(realu_div(),y),x) i(i(realu_sub(),x),i(realu_neg(),y)) -> i(i(realu_add(),x),y) i(i(i(netord(),atu_neginfinity()),x),y) -> i(i(realu_le(),x),y) i(intu_neg(),i(i(intu_sub(),x),y)) -> i(i(intu_sub(),y),x) i(i(rpow(),x),i(realu_ofu_num(),n)) -> i(i(realu_pow(),x),n) i(w_(),i(i(l_a_(),m),n)) -> i(i(l_(),n),m) i(w_(),i(i(l_(),m),n)) -> i(i(l_a_(),n),m) i(i(d_(),i(vec(),k)),i0) -> i(realu_ofu_num(),k) i(w_(),i(i(realu_lt(),x),y)) -> i(i(realu_le(),y),x) i(i(l_(),m),i(SUC(),n)) -> i(i(l_a_(),m),n) i(w_(),i(i(intu_lt(),x),y)) -> i(i(intu_le(),y),x) i(realu_neg(),i(i(realu_sub(),x),y)) -> i(i(realu_sub(),y),x) i(i(i(netord(),atu_posinfinity()),x),y) -> i(i(realu_ge(),x),y) i(i(l_a_(),i(SUC(),m)),n) -> i(i(l_(),m),n) i(trealu_neg(),i(i(c_(),x),y)) -> i(i(c_(),y),x) i(i(i(netord(),sequentially()),m),n) -> i(i(g_a_(),m),n) i(i(IN(),m),i(from(),n)) -> i(i(l_a_(),n),m) i(mat(),i(NUMERAL(),i(BIT1(),u_0()))) -> i(matrix(),I()) i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) -> i(neutral(),realu_mul()) i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) -> i(vectoru_norm(),ii()) i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) -> i(sign(),I()) i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))) -> i(dimindex(),UNIV()) i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))) -> i(dimindex(),UNIV()) i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))) -> i(Im(),ii()) i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(w_(),i(i(l_a_u_c(),s0),t)) -> i(i(l_u_c(),t),s0) i(w_(),i(i(l_u_c(),s0),t)) -> i(i(l_a_u_c(),t),s0) i(matrixu_neg(),i(i(matrixu_sub(),A),B)) -> i(i(matrixu_sub(),B),A) i(vectoru_neg(),i(i(vectoru_sub(),x),y)) -> i(i(vectoru_sub(),y),x) i(pathfinish(),i(i(p_p_(),g1),g2)) -> i(pathfinish(),g2) i(negligible(),i(i(INSERT(),a),s0)) -> i(negligible(),s0) i(i(orthogonal(),i(vectoru_neg(),x)),y) -> i(i(orthogonal(),x),y) i(i(vectoru_sub(),x),i(vectoru_neg(),y)) -> i(i(vectoru_add(),x),y) i(i(IN(),x),i(setu_ofu_list(),l)) -> i(i(MEM(),x),l) i(i(orthogonal(),x),i(vectoru_neg(),y)) -> i(i(orthogonal(),x),y) i(realu_negligible(),i(i(INSERT(),a),s0)) -> i(realu_negligible(),s0) i(i(matrixu_vectoru_mul(),i(transp(),A)),x) -> i(i(vectoru_matrixu_mul(),x),A) i(pathstart(),i(i(p_p_(),g1),g2)) -> i(pathstart(),g1) i(vectoru_norm(),i(i(rotate2d(),t),z)) -> i(vectoru_norm(),z) i(measure(),i(i(rect(),a),b)) -> i(i(volu_rect(),a),b) i(COUNTABLE(),i(i(DELETE(),s0),x)) -> i(COUNTABLE(),s0) i(COUNTABLE(),i(i(INSERT(),x),s0)) -> i(COUNTABLE(),s0) i(complexu_inv(),i(i(complexu_div(),w),z)) -> i(i(complexu_div(),z),w) i(LENGTH(),i(i(MAP(),f),l)) -> i(LENGTH(),l) i(i(i(pathu_component(),s0),x),x) -> i(i(IN(),x),s0) i(bounded(),i(i(INSERT(),x),s0)) -> i(bounded(),s0) i(i(complexu_mul(),i(Cx(),c)),x) -> i(i(r_(),c),x) i(i(i(connectedu_component(),s0),x),x) -> i(i(IN(),x),s0) i(FINITE(),i(i(DELETE(),s0),x)) -> i(FINITE(),s0) i(FINITE(),i(i(INSERT(),x),s0)) -> i(FINITE(),s0) i(i(t_(),m),i(NUMERAL(),u_0())) -> i(NUMERAL(),u_0()) i(i(t_(),i(NUMERAL(),u_0())),n) -> i(NUMERAL(),u_0()) i(i(g_(),i(BIT0(),n)),u_0()) -> i(i(g_(),n),u_0()) i(i(l_a_(),i(BIT0(),n)),u_0()) -> i(i(l_a_(),n),u_0()) i(i(a_(),i(BIT0(),n)),u_0()) -> i(i(a_(),n),u_0()) i(i(EXP(),i(BIT1(),m)),u_0()) -> i(BIT1(),u_0()) i(i(EXP(),i(BIT0(),m)),u_0()) -> i(BIT1(),u_0()) i(i(i(ALL2(),P),NIL()),NIL()) -> T() i(setdist(),i(i(c_(),s0),EMPTY())) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(setdist(),i(i(c_(),EMPTY()),t)) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(Arg(),i(Cx(),i(realu_ofu_num(),n))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(i(EXP(),m),i(NUMERAL(),u_0())) -> i(NUMERAL(),i(BIT1(),u_0())) i(affu_dim(),i(i(INSERT(),a),EMPTY())) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(i(l_(),u_0()),i(BIT1(),n)) -> T() i(i(l_a_(),u_0()),i(BIT1(),n)) -> T() i(i(l_a_(),u_0()),i(BIT0(),n)) -> T() i(i(l_(),i(BIT1(),n)),u_0()) -> F() i(i(l_(),i(BIT0(),n)),u_0()) -> F() i(i(l_a_(),i(BIT1(),n)),u_0()) -> F() i(i(a_(),u_0()),i(BIT1(),n)) -> F() i(i(a_(),i(BIT1(),n)),u_0()) -> F() i(i(l_(),m),i(NUMERAL(),u_0())) -> F() i(i(i(MAP2(),f),NIL()),l) -> NIL() i(topspace(),i(i(subtopology(),euclidean()),s0)) -> s0 i(topspace(),i(i(subtopology(),euclideanreal()),s0)) -> s0 i(midpoint(),i(i(c_(),x),x)) -> x i(LENGTH(),i(i(REPLICATE(),n),x)) -> n i(i(p_(),i(NUMERAL(),u_0())),n) -> n i(i(m_(),m),i(NUMERAL(),u_0())) -> m i(i(p_(),m),i(NUMERAL(),u_0())) -> m i(intu_sgn(),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(trace(),i(mat(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(tan(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(intu_abs(),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),u_0()))) -> i(intu_ofu_num(),i(NUMERAL(),u_0())) i(vectoru_norm(),i(vec(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(infnorm(),i(vec(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(realu_sgn(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(vectoru_neg(),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0())) i(realu_abs(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(sqrt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(matrixu_neg(),i(mat(),i(NUMERAL(),u_0()))) -> i(mat(),i(NUMERAL(),u_0())) i(atn(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(sin(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(det(),i(mat(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(hrealu_inv(),i(hrealu_ofu_num(),i(NUMERAL(),u_0()))) -> i(hrealu_ofu_num(),i(NUMERAL(),u_0())) i(asn(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0())) i(rank(),i(mat(),i(NUMERAL(),u_0()))) -> i(NUMERAL(),u_0()) i(openu_interval(),i(i(c_(),a),a)) -> EMPTY() i(i(i(ALL2(),P),NIL()),l2) -> i(i(a_(),l2),NIL()) i(i(REPLICATE(),i(NUMERAL(),u_0())),x) -> NIL() i(i(i(slice(),k),a),EMPTY()) -> EMPTY() i(i(m_(),u_0()),i(BIT1(),n)) -> u_0() i(i(m_(),u_0()),i(BIT0(),n)) -> u_0() i(i(EXP(),u_0()),i(BIT1(),n)) -> u_0() i(i(t_(),i(BIT1(),n)),u_0()) -> u_0() i(i(t_(),i(BIT0(),n)),u_0()) -> u_0() i(i(t_(),u_0()),i(BIT1(),n)) -> u_0() i(i(t_(),u_0()),i(BIT0(),n)) -> u_0() i(i(i(lifted(),op),u_),NONE()) -> NONE() i(i(i(lifted(),op),NONE()),u_) -> NONE() i(i(within(),i(atreal(),x)),UNIV()) -> i(atreal(),x) i(i(a_(),i(floor(),x)),x) -> i(integer(),x) i(tan(),i(i(realu_add(),x),pi())) -> i(tan(),x) i(i(higheru_realu_derivative(),i(NUMERAL(),u_0())),f) -> f i(mku_real(),i(trealu_eq(),i(trealu_ofu_num(),m))) -> i(realu_ofu_num(),m) i(mku_hreal(),i(naddu_eq(),i(naddu_ofu_num(),m))) -> i(hrealu_ofu_num(),m) i(open(),i(i(IMAGE(),lift()),s0)) -> i(realu_open(),s0) i(i(HASu_SIZE(),s0),i(CARD(),s0)) -> i(FINITE(),s0) i(i(hasu_realu_measure(),s0),i(realu_measure(),s0)) -> i(realu_measurable(),s0) i(isu_interval(),i(i(IMAGE(),lift()),s0)) -> i(isu_realinterval(),s0) i(measurable(),i(i(IMAGE(),lift()),s0)) -> i(realu_measurable(),s0) i(connected(),i(i(IMAGE(),lift()),s0)) -> i(isu_realinterval(),s0) i(compact(),i(i(IMAGE(),lift()),s0)) -> i(realu_compact(),s0) i(lebesgueu_measurable(),i(i(IMAGE(),lift()),s0)) -> i(realu_lebesgueu_measurable(),s0) i(open(),i(i(DIFF(),UNIV()),s0)) -> i(closed(),s0) i(realu_open(),i(i(DIFF(),UNIV()),s0)) -> i(realu_closed(),s0) i(sqrt(),i(i(dot(),x),x)) -> i(vectoru_norm(),x) i(realu_closed(),i(i(DIFF(),UNIV()),s0)) -> i(realu_open(),s0) i(closed(),i(i(DIFF(),UNIV()),s0)) -> i(open(),s0) i(negligible(),i(i(IMAGE(),lift()),s0)) -> i(realu_negligible(),s0) i(i(DELETE(),s0),i(CHOICE(),s0)) -> i(REST(),s0) i(i(hasu_measure(),s0),i(measure(),s0)) -> i(measurable(),s0) i(closed(),i(i(IMAGE(),lift()),s0)) -> i(realu_closed(),s0) i(convex(),i(i(IMAGE(),lift()),s0)) -> i(isu_realinterval(),s0) i(i(INTER(),i(inside(),s0)),s0) -> EMPTY() i(i(i(support(),op),f),EMPTY()) -> EMPTY() i(i(INTER(),i(outside(),s0)),s0) -> EMPTY() i(openu_segment(),i(i(c_(),a),a)) -> EMPTY() i(i(ITER(),i(NUMERAL(),u_0())),f) -> I() i(swap(),i(i(c_(),a),a)) -> I() i(g,i(vec(),i(NUMERAL(),u_0()))) -> i(pathstart(),g) i(TL(),i(i(CONS(),h),t)) -> t i(i(i(o(),f),g),x) -> i(f,i(g,x)) i(i(i(affsign(),sgn),s0),EMPTY()) -> i(i(hull(),affine()),s0) i(i(i(a_a_(),x),y),rel) -> i(i(rel,x),y) i(i(i(INV(),R),x),y) -> i(i(R,y),x) i(netlimit(),i(atreal(),a)) -> a i(i(realu_min(),x),x) -> x i(i(realu_max(),x),x) -> x i(vectoru_neg(),i(vectoru_neg(),x)) -> x i(OUTR(),i(INR(),y)) -> y i(i(l_u_c(),s0),UNIV()) -> i(FINITE(),s0) i(i(l_a_u_c(),s0),UNIV()) -> i(COUNTABLE(),s0) i(i(UNION(),p),p) -> p i(i(INTER(),p),p) -> p i(i(subtopology(),top),UNIV()) -> top i(w_(),i(w_(),t)) -> t i(w_(),i(EVEN(),n)) -> i(ODD(),n) i(drop(),i(vec(),n)) -> i(realu_ofu_num(),n) i(transp(),i(mat(),n)) -> i(mat(),n) i(ODD(),i(NUMERAL(),n)) -> i(ODD(),n) i(EVEN(),i(NUMERAL(),n)) -> i(EVEN(),n) i(PRE(),i(BIT1(),n)) -> i(BIT0(),n) i(SUC(),i(BIT0(),n)) -> i(BIT1(),n) i(i(p_(),n),n) -> i(BIT0(),n) i(realu_abs(),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),n) i(floor(),i(realu_ofu_num(),n)) -> i(realu_ofu_num(),n) i(intu_abs(),i(intu_ofu_num(),n)) -> i(intu_ofu_num(),n) i(sndcart(),i(vec(),n)) -> i(vec(),n) i(fstcart(),i(vec(),n)) -> i(vec(),n) i(lift(),i(realu_ofu_num(),n)) -> i(vec(),n) i(w_(),i(ODD(),n)) -> i(EVEN(),n) i(realu_ofu_int(),i(intu_ofu_num(),n)) -> i(realu_ofu_num(),n) i(ODD(),i(NUMERAL(),u_0())) -> F() i(i(l_(),u_0()),u_0()) -> F() i(i(EX(),P),NIL()) -> F() i(i(MEM(),x),NIL()) -> F() i(mku_nadd(),i(destu_nadd(),a)) -> a i(intu_abs(),i(intu_abs(),x)) -> i(intu_abs(),x) i(intu_abs(),i(intu_neg(),x)) -> i(intu_abs(),x) i(i(intu_max(),x),x) -> x i(i(intu_min(),x),x) -> x i(intu_ofu_real(),i(realu_ofu_num(),n)) -> i(intu_ofu_num(),n) i(realu_abs(),i(vectoru_norm(),x)) -> i(vectoru_norm(),x) i(transp(),i(columnvector(),v)) -> i(rowvector(),v) i(i(affu_gt(),EMPTY()),s0) -> i(conv0(),s0) i(RSTC(),i(RSTC(),R)) -> i(RSTC(),R) i(i(exposedu_faceu_of(),s0),s0) -> i(convex(),s0) i(i(hull(),subspace()),s0) -> i(span(),s0) i(dim(),i(closure(),s0)) -> i(dim(),s0) i(i(hull(),closed()),s0) -> i(closure(),s0) i(vectoru_norm(),i(pad2d3d(),x)) -> i(vectoru_norm(),x) i(realu_abs(),i(infnorm(),x)) -> i(infnorm(),x) i(i(faceu_of(),s0),s0) -> i(convex(),s0) i(dim(),i(span(),s0)) -> i(dim(),s0) i(TC(),i(TC(),R)) -> i(TC(),R) i(infnorm(),i(vectoru_neg(),x)) -> i(infnorm(),x) i(STC(),i(STC(),R)) -> i(STC(),R) i(i(closedu_in(),euclidean()),s0) -> i(closed(),s0) i(i(l_a_u_c(),UNIV()),s0) -> i(INFINITE(),s0) i(SC(),i(SC(),R)) -> i(SC(),R) i(RTC(),i(RTC(),R)) -> i(RTC(),R) i(columns(),i(transp(),A)) -> i(rows(),A) i(rows(),i(transp(),A)) -> i(columns(),A) i(i(rotate2d(),pi()),z) -> i(vectoru_neg(),z) i(closure(),i(closure(),s0)) -> i(closure(),s0) i(vectoru_norm(),i(cnj(),z)) -> i(vectoru_norm(),z) i(rank(),i(transp(),A)) -> i(rank(),A) i(RC(),i(RC(),R)) -> i(RC(),R) i(det(),i(transp(),A)) -> i(det(),A) i(ccos(),i(vectoru_neg(),z)) -> i(ccos(),z) i(i(openu_in(),euclideanreal()),s0) -> i(realu_open(),s0) i(RSC(),i(RSC(),R)) -> i(RSC(),R) i(i(closedu_in(),euclideanreal()),s0) -> i(realu_closed(),s0) i(real0(),i(complexu_inv(),z)) -> i(real0(),z) i(bounded(),i(closure(),s0)) -> i(bounded(),s0) i(compact(),i(closure(),s0)) -> i(bounded(),s0) i(path(),i(reversepath(),g)) -> i(path(),g) i(Re(),i(cnj(),z)) -> i(Re(),z) i(vectoru_norm(),i(vectoru_neg(),x)) -> i(vectoru_norm(),x) i(orthogonalu_matrix(),i(transp(),A)) -> i(orthogonalu_matrix(),A) i(span(),i(span(),s0)) -> i(span(),s0) i(interior(),i(interior(),s0)) -> i(interior(),s0) i(i(g_a_u_c(),UNIV()),t) -> i(COUNTABLE(),t) i(i(openu_in(),euclidean()),s0) -> i(open(),s0) i(transp(),i(rowvector(),v)) -> i(columnvector(),v) i(pathu_image(),i(reversepath(),g)) -> i(pathu_image(),g) i(OUTL(),i(INL(),x)) -> x i(i(FILTER(),P),NIL()) -> NIL() i(i(m_(),u_0()),u_0()) -> u_0() i(i(t_(),u_0()),u_0()) -> u_0() i(i(p_(),u_0()),u_0()) -> u_0() i(i(IN(),x),P) -> i(P,x) i(i(LET(),f),x) -> i(f,x) i(i(s_b_(),p),p) -> p i(i(b_s_(),p),p) -> p i(i(nsum(),EMPTY()),f) -> i(NUMERAL(),u_0()) i(intu_ofu_num(),i(dimindex(),UNIV())) -> i(affu_dim(),UNIV()) i(EVEN(),i(NUMERAL(),u_0())) -> T() i(i(l_a_(),u_0()),u_0()) -> T() i(i(a_(),u_0()),u_0()) -> T() i(i(PAIRWISE(),r),NIL()) -> T() i(i(ALL(),P),NIL()) -> T() i(ODD(),i(BIT1(),n)) -> T() i(EVEN(),i(BIT0(),n)) -> T() i(i(pairwise(),r),EMPTY()) -> T() i(i(a_(),x),x) -> T() i(ODD(),i(BIT0(),n)) -> F() i(EVEN(),i(BIT1(),n)) -> F() i(oneu_ABS(),i(oneu_REP(),a)) -> a i(intu_ofu_real(),i(realu_ofu_int(),a)) -> a i(pathfinish(),i(reversepath(),g)) -> i(pathstart(),g) i(SC(),i(INV(),R)) -> i(SC(),R) i(pathstart(),i(reversepath(),g)) -> i(pathfinish(),g) i(i(APPEND(),NIL()),l) -> l i(finiteu_index(),i(destu_finiteu_image(),a)) -> a i(topology0(),i(openu_in(),a)) -> a i(REVERSE(),i(REVERSE(),l)) -> l i(i(APPEND(),l),NIL()) -> l i(mku_net(),i(netord(),a)) -> a i(cnj(),i(cnj(),z)) -> z i(i(UNION(),s0),EMPTY()) -> s0 i(i(UNION(),EMPTY()),s0) -> s0 i(ccos(),i(cacs(),z)) -> z i(lift(),i(drop(),x)) -> x i(reversepath(),i(reversepath(),g)) -> g i(intu_neg(),i(intu_neg(),x)) -> x i(i(IMAGE(),I()),s0) -> s0 i(i(INTER(),s0),UNIV()) -> s0 i(i(INTER(),UNIV()),s0) -> s0 i(csin(),i(casn(),z)) -> z i(complexu_inv(),i(complexu_inv(),x)) -> x i(i(DIFF(),s0),EMPTY()) -> s0 i(transp(),i(transp(),A)) -> A i(mku_finiteu_sum(),i(destu_finiteu_sum(),a)) -> a i(netlimit(),i(at(),a)) -> a i(mku_cart(),i(destu_cart(),a)) -> a i(ABSu_prod(),i(REPu_prod(),a)) -> a i(PRE(),i(SUC(),n)) -> n i(numu_ofu_int(),i(intu_ofu_num(),n)) -> n i(i(ZIP(),NIL()),NIL()) -> NIL() i(i(ZIP(),NIL()),l2) -> NIL() i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(diameter(),EMPTY()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(tan(),pi()) i(vec(),i(NUMERAL(),u_0())) -> i(neutral(),vectoru_add()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(realu_measure(),EMPTY()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(Re(),ii()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(measure(),EMPTY()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(content(),EMPTY()) i(NUMERAL(),i(BIT1(),u_0())) -> i(dimindex(),UNIV()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(neutral(),realu_add()) i(realu_ofu_num(),i(NUMERAL(),u_0())) -> i(sin(),pi()) i(NUMERAL(),i(BIT1(),u_0())) -> i(neutral(),t_()) i(i(IMAGE(),f),EMPTY()) -> EMPTY() i(i(EXP(),u_0()),u_0()) -> i(BIT1(),u_0()) i(NUMERAL(),i(NUMERAL(),u_0())) -> i(NUMERAL(),u_0()) i(PRE(),i(NUMERAL(),u_0())) -> i(NUMERAL(),u_0()) i(i(IMAGE(),lift()),UNIV()) -> UNIV() i(i(IMAGE(),drop()),UNIV()) -> UNIV() i(i(hull(),affine()),UNIV()) -> UNIV() i(from(),i(NUMERAL(),u_0())) -> UNIV() i(i(hull(),convex()),EMPTY()) -> EMPTY() i(i(hull(),convex()),UNIV()) -> UNIV() i(BIT0(),i(NUMERAL(),u_0())) -> i(NUMERAL(),u_0()) i(i(hull(),affine()),EMPTY()) -> EMPTY() i(i(hull(),conic()),EMPTY()) -> EMPTY() i(realu_abs(),i(exp(),x)) -> i(exp(),x) i(realu_sgn(),i(realu_inv(),x)) -> i(realu_sgn(),x) i(integer(),i(realu_neg(),x)) -> i(integer(),x) i(rational(),i(realu_neg(),x)) -> i(rational(),x) i(vectoru_norm(),i(Cx(),x)) -> i(realu_abs(),x) i(realu_abs(),i(realu_neg(),x)) -> i(realu_abs(),x) i(cos(),i(realu_neg(),x)) -> i(cos(),x) i(integer(),i(realu_abs(),x)) -> i(integer(),x) i(rational(),i(realu_inv(),x)) -> i(rational(),x) i(vectoru_norm(),i(lift(),x)) -> i(realu_abs(),x) i(realu_abs(),i(realu_abs(),x)) -> i(realu_abs(),x) i(cnj(),i(Cx(),x)) -> i(Cx(),x) i(cos(),i(realu_abs(),x)) -> i(cos(),x) i(w_(),i(dependent(),s0)) -> i(independent(),s0) i(RC(),i(SC(),R)) -> i(RSC(),R) i(RC(),i(TC(),R)) -> i(RTC(),R) i(TC(),i(SC(),R)) -> i(STC(),R) i(w_(),i(FINITE(),s0)) -> i(INFINITE(),s0) i(dim(),i(rows(),A)) -> i(rank(),A) i(dim(),i(columns(),A)) -> i(rank(),A) i(realu_abs(),i(drop(),x)) -> i(vectoru_norm(),x) i(UNIONS(),i(components(),u)) -> u i(i(MAP(),f),NIL()) -> NIL() i(i(INTER(),s0),EMPTY()) -> EMPTY() i(i(INTER(),EMPTY()),s0) -> EMPTY() i(i(pathu_component(),EMPTY()),x) -> EMPTY() i(i(connectedu_component(),EMPTY()),x) -> EMPTY() i(i(DIFF(),EMPTY()),s0) -> EMPTY() i(i(pathu_component(),UNIV()),x) -> UNIV() i(i(UNION(),s0),UNIV()) -> UNIV() i(i(UNION(),UNIV()),s0) -> UNIV() i(i(DIFF(),s0),s0) -> EMPTY() i(i(DIFF(),s0),UNIV()) -> EMPTY() i(i(DELETE(),EMPTY()),x) -> EMPTY() i(i(INSERT(),x),UNIV()) -> UNIV() i(i(connectedu_component(),UNIV()),x) -> UNIV() i(tan(),i(atn(),y)) -> y i(realu_inv(),i(realu_inv(),x)) -> x i(realu_neg(),i(realu_neg(),x)) -> x i(Re(),i(Cx(),x)) -> x i(drop(),i(lift(),x)) -> x i(log(),i(exp(),x)) -> x i(iterate(),realu_mul()) -> product() i(iterate(),realu_add()) -> sum() i(rconesgn(),a_()) -> rconeu_eq() i(rconesgn(),realu_ge()) -> rconeu_ge() i(rconesgn(),realu_gt()) -> rconeu_gt() i(iterate(),p_()) -> nsum() i(u_mku_rec(),ZBOT()) -> BOTTOM() i(iterate(),complexu_mul()) -> cproduct() i(REVERSE(),NIL()) -> NIL() i(ODD(),u_0()) -> F() i(w_(),T()) -> F() i(realu_abs(),pi()) -> pi() i(BUTLAST(),NIL()) -> NIL() i(PRE(),u_0()) -> u_0() i(BIT0(),u_0()) -> u_0() i(MAP(),I()) -> I() i(inverse(),I()) -> I() i(EVEN(),u_0()) -> T() i(neutral(),s_b_()) -> T() i(evenperm(),I()) -> T() i(w_(),F()) -> T() i(NULL(),NIL()) -> T() i(mku_num(),INDu_0()) -> u_0() i(GSPEC(),p) -> p i(NUMERAL(),n) -> n i(I(),x) -> x i(UNIONS(),EMPTY()) -> EMPTY() i(closure(),EMPTY()) -> EMPTY() i(span(),UNIV()) -> UNIV() i(setu_ofu_list(),NIL()) -> EMPTY() i(interior(),EMPTY()) -> EMPTY() i(topspace(),euclideanreal()) -> UNIV() i(INTERS(),EMPTY()) -> UNIV() i(topspace(),euclidean()) -> UNIV() i(frontier(),EMPTY()) -> EMPTY() i(closure(),UNIV()) -> UNIV() i(relativeu_interior(),EMPTY()) -> EMPTY() i(inside(),EMPTY()) -> EMPTY() i(frontier(),UNIV()) -> EMPTY() i(outside(),EMPTY()) -> UNIV() i(interior(),UNIV()) -> UNIV() i(affsign(),sgnu_lt()) -> affu_lt() i(affsign(),sgnu_gt()) -> affu_gt() i(topology0(),open()) -> euclidean() i(affsign(),sgnu_le()) -> affu_le() i(topology0(),realu_open()) -> euclideanreal() i(affsign(),sgnu_ge()) -> affu_ge() i(LETu_END(),t) -> t Proof: Open