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Proof step 16 from proof fill-sgn-01 (previous step)

n1 + # bits0 = n + # sgn(boolvar ' + bits0), # sgn(boolvar ' + bits0) ≤ n1 + # bits0, # sgn(boolvar ' + bits0) ≤ 1 + # bits0, ∀ n0. ¬ n0 < # bits0 → fillsgn(n0, sgn(bits0)) = fillsgn(n0, bits0) ⊦ n1 = 0, mklist(boolvar, n) + sgn(boolvar ' + bits0) = mklist(boolvar, n1) + bits0

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

seq: ⊦ boolvar ∈ bits → (∃ bits0, bits1. bits = bits0 + boolvar ' + bits1 ∧ ¬ boolvar ∈ bits0) subst: [boolvar, bits] → [¬ boolvar, bits0] rotate: F spec: list inst: bitlista name: firstoc

Additional information

Used terms: ¬ boolvar, bits0