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Proof step 2 from proof sgn-base-04 (previous step)

⊦ sgn(boolvar ' + bits) = boolvar ' + bits, boolvar ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bits ≠ [] ∧ (bits.first ↔ ¬ boolvar) → sgn(boolvar ' + bits) = boolvar ' + bits
Proof step 4:
¬(bits ≠ [] ∧ (bits.first ↔ ¬ boolvar)) ⊦ sgn(boolvar ' + bits) = boolvar ' + bits, boolvar ∈ bits

Rule argument

name: sgn-base-03 rotate: F subst: [bits, boolvar] → [bits, boolvar]

Additional information

Used terms: bits, boolvar