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Proof step 15 from proof int2bits-rest (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ (¬ boolvar) ∈ bits → sgn(bits + boolvar ') = sgn(bits) + boolvar '
Proof step 17:
¬ (¬ true) ∈ bitsinvert(uint2bits(~(j / 2))), sgn(bitsinvert(uint2bits(~(j / 2))) + true ').rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0, j % 2 = 0
Proof step 23:
(¬ true) ∈ bitsinvert(uint2bits(~(j / 2))), (sgn(bitsinvert(uint2bits(~(j / 2)))) + true ').rest = [], j < 0, j < ~1 ⊦ j = ~1, j = 0, j % 2 = 0

Rule argument

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

Additional information

Used terms: true, bitsinvert(uint2bits(~(j / 2)))