lean2/tests/lean/run/eq18.lean

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Text

import data.vector
open nat vector
definition last {A : Type} : Π {n}, vector A (succ n) → A
| last (a :: nil) := a
| last (a :: v) := last v
theorem last_cons_nil {A : Type} {n : nat} (a : A) : last (a :: nil) = a :=
rfl
theorem last_cons {A : Type} {n : nat} (a : A) (v : vector A (succ n)) : last (a :: v) = last v :=
rfl