lean4-htt/tests/lean/elab9.lean.expected.out

8 lines
632 B
Text

λ (A : Type u_1) [_inst_1 : has_add A] [_inst_2 : has_zero A] (a : A)
(H : @eq A (@add A _inst_1 a (@zero A _inst_2)) a) [_inst_3 : has_add A]
(H : @eq A a (@add A _inst_3 (@zero A _inst_2) (@zero A _inst_2))), @add A _inst_3 a a :
Π (A : Type u_1) [_inst_1 : has_add A] [_inst_2 : has_zero A] (a : A),
@eq A (@add A _inst_1 a (@zero A _inst_2)) a →
Π [_inst_3 : has_add A], @eq A a (@add A _inst_3 (@zero A _inst_2) (@zero A _inst_2)) → A
λ (a b : nat) (H : @gt nat nat.nat_has_lt a b) [_inst_1 : has_lt nat], @lt nat _inst_1 a b :
Π (a b : nat), @gt nat nat.nat_has_lt a b → Π [_inst_1 : has_lt nat], Prop