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Proof step 5 from proof sgn-lastn (previous step)

⊦ lastn(# bits0 + 1, sgn(bits + boolvar ') + bits0) = boolvar ' + bits0, (¬ boolvar) ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
¬ (¬ boolvar) ∈ bits ⊦ sgn(bits + boolvar ') = boolvar '
Proof step 7:
¬ (¬ boolvar) ∈ bits ⊦ lastn(# bits0 + 1, boolvar ' + bits0) = boolvar ' + bits0, (¬ boolvar) ∈ bits

Rule argument

name: sgn-last-same rotate: F subst: [boolvar, bits] → [boolvar, bits]

Additional information

Used terms: boolvar, bits