lean2/tests/lean/run/tactic26.lean
Leonardo de Moura 754276a660 feat(frontends/lean): round parenthesis for [tactic1 | tactic2]
This commit also replaces the notation for divides
     `(` a `|` b `)`
with
      a `∣` b

The character `∣` is entered by typing \|

closes #516
2015-04-06 09:24:09 -07:00

24 lines
734 B
Text

import logic data.num
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 my_tac
theorem T : inhabited (sum false num)
end foo