lean2/tests/lean/run/tactic26.lean
2014-09-15 16:05:17 -07:00

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import logic
open tactic inhabited
namespace foo
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 (sum.inl B a))
theorem inr_inhabited (A : Type) {B : Type} (H : inhabited B) : inhabited (sum A B)
:= inhabited.destruct H (λ b, inhabited.mk (sum.inr A b))
definition my_tac := fixpoint (λ t, [ apply @inl_inhabited; t
| apply @inr_inhabited; t
| apply @num.is_inhabited
])
tactic_hint [inhabited] my_tac
theorem T : inhabited (sum false num)
end foo