appappplus0yyappappplusappsxyappsappappplusxyappapptimes0y0appapptimesappsxyappappplusappapptimesxyyappincxsappappmapappplusapps0xsappdoublexsappappmapapptimesappsapps0xsappappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxs2.1appplus0plusplus1plus2000s0ss1times0timestimes1times2inc0incinc1map0mapmap1map2double0doubledouble1nil0nilcons0conscons1cons2appplusy1plus1y1appplus1x0y1plus2x0y1appsy1s1y1apptimesy1times1y1apptimes1x0y1times2x0y1appincy1inc1y1appmapy1map1y1appmap1x0y1map2x0y1appdoubley1double1y1appconsy1cons1y1appcons1x0y1cons2x0y1plus20yyplus2s1xys1plus2xytimes20y0times2s1xyplus2times2xyyinc1xsmap2plus1s10xsdouble1xsmap2times1s1s10xsmap2fnilnilmap2fcons2xxscons2appfxmap2fxsappplusy1plus1y1appplus1x0y1plus2x0y1appsy1s1y1apptimesy1times1y1apptimes1x0y1times2x0y1appincy1inc1y1appmapy1map1y1appmap1x0y1map2x0y1appdoubley1double1y1appconsy1cons1y1appcons1x0y1cons2x0y110plus2s1xyplus2xytimes2s1xyplus2times2xyytimes2s1xytimes2xyinc1xsmap2plus1s10xsdouble1xsmap2times1s1s10xsmap2fcons2xxsappfxmap2fcons2xxsmap2fxsappplus1x0y1plus2x0y1apptimes1x0y1times2x0y1appincy1inc1y1appmap1x0y1map2x0y1appdoubley1double1y1trueappincy1inc1y1inc1xsmap2plus1s10xsmap2fcons2xxsappfxappmap1x0y1map2x0y1map2fcons2xxsmap2fxsappdoubley1double1y1double1xsmap2times1s1s10xstrueinc1xsmap2plus1s10xs1false2map2fcons2xxsappfx1false12true2map2fcons2xxsmap2fxs1false12true2appincy1inc1y12false1appmap1x0y1map2x0y11true12false2appdoubley1double1y12false1double1xsmap2times1s1s10xs1false2apptimes1x0y1times2x0y1falsetimes2s1xytimes2xytruetimes2s1xytimes2xy1true12false2times2s1xyplus2times2xyyfalseappplus1x0y1plus2x0y1falseplus2s1xyplus2xytrueplus2s1xyplus2xy1true12false2AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (13 real / 0 unknown / 0 assumptions / 13 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe