lean4-htt/tests/lean/run/esimp1.lean
2016-06-10 18:29:41 -07:00

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Text

exit
open nat
example (x y : nat) (H : (fun (a : nat), sigma.pr1 ⟨a, y⟩) x = 0) : x = 0 :=
begin
esimp at H,
exact H
end
definition foo [irreducible] (a : nat) := a
example (x y : nat) (H : (fun (a : nat), sigma.pr1 ⟨foo a, y⟩) x = 0) : x = 0 :=
begin
esimp at H,
esimp ↑foo at H,
exact H
end
example (x y : nat) (H : x = 0) : (fun (a : nat), sigma.pr1 ⟨foo a, y⟩) x = 0 :=
begin
esimp,
esimp ↑foo,
exact H
end
example (x y : nat) (H : x = 0) : (fun (a : nat), sigma.pr1 ⟨foo a, y⟩) x = 0 :=
begin
esimp,
unfold foo,
exact H
end