lean2/tests/lean/run/tactic26.lean

22 lines
709 B
Text
Raw Normal View History

import logic
using tactic inhabited
inductive sum (A : Type) (B : Type) : Type :=
inl : A → sum A B,
inr : B → sum A B
theorem inl_inhabited {A : Type} (B : Type) (H : inhabited A) : inhabited (sum A B)
:= inhabited_destruct H (λ a, inhabited_mk (inl B a))
theorem inr_inhabited (A : Type) {B : Type} (H : inhabited B) : inhabited (sum A B)
:= inhabited_destruct H (λ b, inhabited_mk (inr A b))
definition my_tac := fixpoint (λ t, [ apply @inl_inhabited; t
| apply @inr_inhabited; t
| apply @num.num_inhabited
])
tactic_hint [inhabited] my_tac
theorem T : inhabited (sum false num.num)