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Proof step 7 from proof mk-inj-01 (previous step)

a ' + mklist(a, m0) = mklist(a, n), ∀ a, n. mklist(a, m0) = mklist(a, n) → m0 = n ⊦ m0 + 1 = n, n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ m ≠ 0 → mklist(a, m) = a + mklist(a, m - 1)
Proof step 9:
n ≠ 0, a ' + mklist(a, m0) = a + mklist(a, n - 1), ∀ a, n. mklist(a, m0) = mklist(a, n) → m0 = n ⊦ m0 + 1 = n, n = 0

Rule argument

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

Additional information

Used terms: n, a