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Proof step 6 from proof blastN-mklist (previous step)

∀ x, a. butlastn(n0, x + mklist(a, n0)) = x ⊦ butlastn(n0, x + a ' + mklist(a, n0 - 1)) = x, n0 = 0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
n0 = m + 1, ∀ x, a. butlastn(n0, x + mklist(a, n0)) = x ⊦ butlastn(n0, x + a ' + mklist(a, m)) = x, n0 = 0

Rule argument

spec: nat inst: name: elim-pred-c seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [n0, m] flags:

Additional information

Used simplifier rules: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: n0, m