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Proof step 7 from proof sgn-true-mklist (previous step)

0 < i, (mklist(false, i→n(i)) + bits).first ⊦ sgn(true ' + mklist(false, i→n(i)) + bits) = true ' + mklist(false, i→n(i)) + bits

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ mklist(boolvar, 0) = [];% ⊦ [] + bits = bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: bits, i→n(i), false