plus0xxplussxysplusxytimes0y0timessxyplusytimesxypsxxp00minusx0xminus0x0minusxsypminusxyisZero0trueisZerosxfalsefacIterxyifisZeroxminusxs0ytimesyxiftruexyzyiffalsexyzfacIterxzfactorialxfacIterxs02.1plussxyplusxytimessxyplusytimesxytimessxytimesxyminusxsypminusxyminusxsyminusxyfacIterxyifisZeroxminusxs0ytimesyxfacIterxyisZeroxfacIterxyminusxs0facIterxytimesyxiffalsexyzfacIterxzfactorialxfacIterxs0truefactorialxfacIterxs0falsefacIterxyifisZeroxminusxs0ytimesyxiffalsexyzfacIterxztrue20isZero0trueisZerosxfalseminus0x0minusxsypminusxytimes0y0timessxyplusytimesxyplus0xxplussxysplusxyminusx0xpsxxp00plus0x0plussx0x1times0x0timessx0x1psx0p0minusx00minus0x0minusx0sx1isZero0isZerosx0facIterxyifisZeroxminusxs0ytimesyx1facIter0y1iftrueminus0s0y1timesy10facItersx0y1iffalseminussx0s0y1timesy1sx0facItersx0y1iffalseminussx0s0y1timesy1sx0iffalsexyzfacIterxztrueminusxsypminusxytimes0y0timessxyplusytimesxyplus0xxplussxysplusxyminus0x0minusx0xpsxxp00plus0x0plussx0x1times0x0timessx0x1psx0p0minusx00minus0x0minusx0sx1facItersx0y1iffalseminussx0s0y1timesy1sx02facItersy0y1iffalsepminussy00y1timesy1sy0minusx0xpsxxp00times0y0timessxyplusytimesxyplus0xxplussxysplusxyfacItersy0y1iffalsepminussy00y1timesy1sy021minusx0xiffalsepsy0y1timesy1sy0facItersy0y1iffalsepsy0y1timesy1sy0minusx0xpsxxtimes0y0timessxyplusytimesxyplus0xxplussxysplusxyplus0x0plussx0x1times0x0timessx0x1psx0p0facItersy0y1iffalsepsy0y1timesy1sy02psxxiffalsey0y1timesy1sy0facItersy0y1iffalsey0y1timesy1sy0psxxtimes0y0timessxyplusytimesxyplus0xxplussxysplusxyplus0x0plussx0x1times0x0timessx0x1iffalsexyzfacIterxziffalsesy_0x1x2facItersy_0x2iffalsesy_0x1x2facItersy_0x22false14false2facItersy0y1iffalsey0y1timesy1sy01true22false3facIter0y1iftrueminus0s0y1timesy10falsefacIterxytimesyxfalsetimessxytimesxytrue20timessxytimesxy1true12false2facIterxyminusxs0falsetimessxyplusytimesxyfalseminusxsyminusxytrue20minusxsyminusxy1false12true2plussxyplusxytrue20plussxyplusxy1true12false2minusxsypminusxyfalsefacIterxyisZeroxfalseAProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (31 real / 0 unknown / 0 assumptions / 31 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe