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Proof step 12 from proof int2bits-rest (previous step)

sgn((bitsinvert(uint2bits(~(j / 2))) + (j % 2 = 0)')+1).rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ boolvar → (bits + boolvar ')+1 = bits +1 + false
Proof step 14:
j % 2 ≠ 0, sgn((bitsinvert(uint2bits(~(j / 2))) + (j % 2 = 0)')+1).rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0
Proof step 26:
j % 2 = 0, sgn(bitsinvert(uint2bits(~(j / 2))) +1 + false).rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0

Rule argument

seq: ⊦ boolvar → (bits + boolvar ')+1 = bits +1 + false subst: [boolvar, bits] → [j % 2 = 0, bitsinvert(uint2bits(~(j / 2)))] rotate: F spec: bitopsaux inst: name: succ-rec-01

Additional information

Used terms: j % 2 = 0, bitsinvert(uint2bits(~(j / 2)))