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Proof step 15 from proof sgn-last-same (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ true ∈ bits ∧ false ∈ bits → sgn(bits + bits0) = sgn(bits) + bits0
Proof step 17:
true ∈ bits ∧ false ∈ bits, false ∈ bits, true ∈ bits ⊦ sgn(bits) + boolvar ' = boolvar ', (¬ boolvar) ∈ bits

Rule argument

name: sgn-append-01 rotate: F subst: [bits0, bits] → [boolvar ', bits]

Additional information

Used terms: boolvar ', bits