lean4-htt/tests/lean/run/show2.lean
2016-06-10 18:29:41 -07:00

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import data.nat
open nat algebra
example : ∀ a b : nat, a + b = b + a :=
show ∀ a b : nat, a + b = b + a
| 0 0 := rfl
| 0 (succ b) := sorry -- by rewrite zero_add
| (succ a) 0 := sorry -- by rewrite zero_add
| (succ a) (succ b) := sorry -- by rewrite [succ_add, this]