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Proof step 27 from proof int2bits-rest (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ (¬ boolvar) ∈ bits → sgn(bits + boolvar ') = sgn(bits) + boolvar '
Proof step 29:
(¬ false) ∈ bitsinvert(uint2bits(~(j / 2))) +1, j % 2 = 0, (sgn(bitsinvert(uint2bits(~(j / 2))) +1) + false ').rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0

Rule argument

seq: ⊦ (¬ boolvar) ∈ bits → sgn(bits + boolvar ') = sgn(bits) + boolvar ' subst: [boolvar, bits] → [false, bitsinvert(uint2bits(~(j / 2))) +1] rotate: F spec: bitopsaux inst: name: sgn-last-04

Additional information

Used simplifier rules: ⊦ ¬ true ∈ bits +1 ↔ false; Used terms: false, bitsinvert(uint2bits(~(j / 2))) +1