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Proof step 5 from proof mk-last-01 (previous step)

∀ a. mklist(a, m0).last = a ⊦ (a ' + mklist(a, m0)).last = a, m0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ y ≠ [] → (x + y).last = y.last
Proof step 7:
∀ a. mklist(a, m0).last = a ⊦ mklist(a, m0).last = a, m0 = 0, mklist(a, m0) = []

Rule argument

spec: <toplevel> name: lapp seq: ⊦ y ≠ [] → (x + y).last = y.last subst: [y, x] → [mklist(a, m0), a '] flags: <all paths>

Additional information

Used simplifier rules: mk-empty: ⊦ mklist(a, m) = [] ↔ m = 0; Used terms: mklist(a, m0), a '