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Proof step 13 from proof lastn-app (previous step)

∀ y0, n0, x. # y0 < # [] → true → lastn(n0 + # y0, x + y0) = lastn(n0, x) + y0 ⊦ lastn(m, x.butlast) + x.last ' = lastn(m + 1, x)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: lastN-rec seq: ⊦ lastn(n + 1, x) = lastn(n, x.butlast) + x.last subst: [x, n] → [x, m] flags: rewrite, current

Additional information

Used simplifier rules: Last: ⊦ x + a = x + a '; from specification list%app-01: ⊦ x + y = x + z ↔ y = z; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: x, m