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Proof step 22 from proof int2bits-rec-neg (previous step)

i < 0 ⊦ i = 0, sgn(bitsinvert(sgn(bitsinvert(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 23:
⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits))
Proof step 24:
i < 0 ⊦ i = 0, sgn(sgn(bitsinvert(bitsinvert(bitsinvert(uint2bits(1 - i)) +1))) + true ') = sgn(bitsinvert(uint2bits(1 - i)) +1) + true '

Rule argument

seq: ⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits)) subst: [bits] → [bitsinvert(bitsinvert(uint2bits(1 - i)) +1)] rotate: F spec: bitopsaux inst: name: inv-sgn

Additional information

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