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

∀ a. rev(mklist(a, n0)) = mklist(a, n0) ⊦ rev(mklist(a, n0 + 1)) = mklist(a, n0 + 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ n ≠ 0 → mklist(a, n) = mklist(a, n -1) + a '
Proof step 5:
n0 + 1 ≠ 0, ∀ a. rev(mklist(a, n0)) = mklist(a, n0) ⊦ rev(mklist(a, (n0 + 1)-1) + a ') = mklist(a, (n0 + 1)-1) + a '

Rule argument

spec: inst: name: mk-last-02 seq: ⊦ n ≠ 0 → mklist(a, n) = mklist(a, n -1) + a ' subst: [n, a] → [n0 + 1, a] flags: rewrite, current

Additional information

Used simplifier rules: z-01: ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: n0 + 1, a