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Proof step 8 from proof sgn-last-01 (previous step)

⊦ sgn((¬ boolvar0)' + boolvar0 ') = sgn((¬ boolvar0)' + bits) + boolvar0 ', boolvar0 ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
¬ (¬ boolvar) ∈ bits ⊦ sgn(boolvar ' + bits) = boolvar '
Proof step 10:
¬ (¬ ¬ boolvar0) ∈ bits ⊦ sgn((¬ boolvar0)' + boolvar0 ') = (¬ boolvar0)' + boolvar0 ', boolvar0 ∈ bits

Rule argument

name: sgn-in rotate: F subst: [bits, boolvar] → [bits, ¬ boolvar0]

Additional information

Used terms: bits, ¬ boolvar0