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Proof step 3 from proof blastN-mklist (previous step)

∀ x, a. butlastn(n0, x + mklist(a, n0)) = x ⊦ butlastn(n0, x + (a ' + mklist(a, n0)).butlast) = x

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ m ≠ 0 → (x + mklist(a, m)).butlast = x + mklist(a, m - 1)
Proof step 5:
n0 ≠ 0, ∀ x, a. butlastn(n0, x + mklist(a, n0)) = x ⊦ butlastn(n0, x + a ' + mklist(a, n0 - 1)) = x

Rule argument

spec: list-last inst: name: mk-butlast seq: ⊦ m ≠ 0 → (x + mklist(a, m)).butlast = x + mklist(a, m - 1) subst: [m, a, x] → [n0, a, a '] flags: rewrite, current

Additional information

Used simplifier rules: mk-zero: ⊦ mklist(a, 0) = [];%b: ⊦ a '.butlast = [];%butlastN-base: ⊦ butlastn(0, x) = x;%app: ⊦ x + [] = x; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: n0, a, a '