ais_evenV0Iais_zeroV0F
ais_zeroc0
apply premises
ais_evenc0
empty_shape
a=aaac
a=acab
a=V0V2Ia=V1V2Ia=V0V1F
a=aaab
a=V0V2Ia=V1V2Ia=V0V1Ia=V3V3F
a=c0c0
a=anc0
asserted formula
true case (asserted formula)
Na=anc0
false case (asserted formula)
Nais_primean
a=axc0
ia=ayc3a=ayc2a=axc0
true case
false case
Na=axc0
a=ap1aTrue
ap2V0F
ap2c0
ap2V0FAa=ap1aTrue
abIaa
ab
ac
f
acAabAabIaa
a=aaaBax
a=aaaA
a=V0c0E
a=V0a+c1c1F
a=V0atF
a=a-ayata-atat
a=ata+c1c1
a=a-aya+c1c1a-a+c1c1a+c1c1
ap1an
a<=anc0
apan
base case
a<c0an
apV0Iap1V0Ia<V0anF
recursive case
apV1AapV0Ia<=V0V1F
apc1Aapc0Ia<=c0c1
apc0
apaxayV0F
apanamV0F
apV0V1V2F
left case
a=axc1Oa=axc0
a=ata+axc2
t
a>=axa+axc2
a>=axa+ayc1
a=a+ayc1a+axc2
equality hypothesis
tIa=V0ayF
a=axay
a=aaV0abV0INa=V0c0F
a=abayaTrue
Na=ayc0
rewrite premises
a=aaayaTrue
a=aaV0abV0INa=V0c0Ia=V1c0F
a=axc1
right case
a=aza+a+ayc1ay
a=a+ayc1az
a=axa+ayc1
a=aza+axay
a=axaz
a=a+ayc1a+a+ayc1ay
a=axax1
apa-V0c1IapV0F
a<=a-V0c1c22Ia<=V0c22F
a<=c21c22
apc21
apa+c2c3
a=c5a+c2c3
apc5

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