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Proof step 23 from proof bor-notAndNot (previous step)

⊦ bitsand(sgn(bitsinvert(int2bits(j))), sgn(bitsinvert(int2bits(i)))) = [], bits2int(bitsinvert(bitsand(bitsinvert(int2bits(j)), bitsinvert(int2bits(i))))) = bits2int(bitsinvert(sgn(bitsand(bitsinvert(int2bits(j)), bitsinvert(int2bits(i))))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits))

Rule argument

seq: ⊦ bitsinvert(sgn(bits)) = sgn(bitsinvert(bits)) subst: [bits] → [bitsand(bitsinvert(int2bits(j)), bitsinvert(int2bits(i)))] rotate: F spec: bitopsaux inst: name: inv-sgn

Additional information

Used simplifier rules: ⊦ bits2int(sgn(bits)) = bits2int(bits); Used terms: bitsand(bitsinvert(int2bits(j)), bitsinvert(int2bits(i)))