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Proof step 5 from proof mk-head (previous step)

mklist(a, n) + x = a0 ' + y, a0 ∈ x ⊦ a0 = a, n = 0, a0 ∈ mklist(a, n)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: mk-rec seq: ⊦ m ≠ 0 → mklist(a, m) = a + mklist(a, m - 1) subst: [m, a] → [n, a] flags: <all paths>

Additional information

Used simplifier rules: ⊦ a + x = a ' + x; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ a ' + x = b ' + y ↔ a = b ∧ x = y; (ws) Used terms: n, a