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Proof step 25 from proof int2bits-rec-neg (previous step)

i < 0 ⊦ i = 0, sgn(bitsinvert(uint2bits(1 - i)) +1 + true ') = sgn(bitsinvert(uint2bits(1 - i)) +1) + true '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
(¬ boolvar) ∈ bits ⊦ sgn(bits + boolvar ') = sgn(bits) + boolvar '
Proof step 27:
¬ (¬ true) ∈ bitsinvert(uint2bits(1 - i)) +1, i < 0 ⊦ i = 0, sgn(bitsinvert(uint2bits(1 - i)) +1 + true ') = sgn(bitsinvert(uint2bits(1 - i)) +1) + true '

Rule argument

seq: (¬ boolvar) ∈ bits ⊦ sgn(bits + boolvar ') = sgn(bits) + boolvar ' subst: [boolvar, bits] → [true, bitsinvert(uint2bits(1 - i)) +1] rotate: F spec: bitopsaux inst: name: sgn-last-diff

Additional information

Used terms: true, bitsinvert(uint2bits(1 - i)) +1