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Proof step 5 from proof sgn-last-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬ (¬ boolvar) ∈ bits → sgn(boolvar ' + bits + bits0) = sgn(boolvar ' + bits0)
Proof step 7:
¬ (¬ ¬ boolvar0) ∈ bits ⊦ sgn((¬ boolvar0)' + boolvar0 ') = sgn((¬ boolvar0)' + bits) + boolvar0 ', boolvar0 ∈ bits

Rule argument

name: sgn-append rotate: F subst: [bits0, bits, boolvar] → [boolvar0 ', bits, ¬ boolvar0]

Additional information

Used terms: boolvar0 ', bits, ¬ boolvar0