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Proof step 16 from proof shiftzero-not-neg (previous step)

i < 0, (mklist(false, i→n(j)) + fillsgn(n, int2bits(i))).first ⊦ j = 0, fillsgn(n, int2bits(i)) = [], mklist(false, i→n(j)) + fillsgn(n, int2bits(i)) = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ n ≠ 0 → ((mklist(boolvar, n) + bits).first ↔ boolvar)

Rule argument

seq: ⊦ n ≠ 0 → ((mklist(boolvar, n) + bits).first ↔ boolvar) subst: [bits, n, boolvar] → [fillsgn(n, int2bits(i)), i→n(j), false] rotate: F spec: list-last inst: bitlista name: mk-first

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0; Used terms: fillsgn(n, int2bits(i)), i→n(j), false