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Proof step 2 from proof sgn-first-03 (previous step)

sgn(false ' + bits) = true ' + bits0, true ∈ bits ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ sgn(boolvar ' + bits).first ↔ boolvar
Proof step 4:
sgn(false ' + bits).first ↔ false, sgn(false ' + bits) = true ' + bits0, true ∈ bits ⊦

Rule argument

name: sgn-first subst: [boolvar, bits] → [false, bits]

Additional information

Used terms: false, bits