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Proof step 15 from proof bits2bits-def (previous step)

0 < bits2uint((false ' + bitsinvert(bits0))+1) ⊦ sgn(bitsinvert(sgn(false ' + (false ' + bitsinvert(bits0))+1)) +1) = sgn(true ' + bits0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits))
Proof step 17:
0 < bits2uint((false ' + bitsinvert(bits0))+1) ⊦ sgn(sgn(bitsinvert(false ' + (false ' + bitsinvert(bits0))+1)) +1) = sgn(true ' + bits0)

Rule argument

seq: ⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits)) subst: [bits] → [false ' + (false ' + bitsinvert(bits0))+1] rotate: F spec: bitopsaux inst: name: inv-sgn

Additional information

Used terms: false ' + (false ' + bitsinvert(bits0))+1