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

(¬ boolvar) ∈ bits0 ⊦ sgn(boolvar0 ' + boolvar ') = sgn(boolvar0 ' + bits0) + boolvar ', (¬ boolvar0) ∈ bits0

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) ∈ bits0, (¬ boolvar) ∈ bits0 ⊦ sgn(boolvar0 ' + boolvar ') = boolvar0 ' + boolvar ', (¬ boolvar0) ∈ bits0

Rule argument

name: sgn-in rotate: F subst: [bits, boolvar] → [bits0, boolvar0]

Additional information

Used terms: bits0, boolvar0