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test(tests/lean/run): add append tactic test

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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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Leonardo de Moura 2014-07-08 18:21:22 -07:00
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commit 2ad1a93657
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tests/lean/run/tactic28.lean Normal file
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import standard
using tactic
inductive sum (A 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_elim H (λ a, inhabited_intro (inl B a))
theorem inr_inhabited (A : Type) {B : Type} (H : inhabited B) : inhabited (sum A B)
:= inhabited_elim H (λ b, inhabited_intro (inr A b))
infixl `..`:100 := append
definition my_tac := repeat (trace "iteration"; state;
( apply @inl_inhabited; trace "used inl"
.. apply @inr_inhabited; trace "used inr"
.. apply @num.inhabited_num; trace "used num")) ; now
tactic_hint [inhabited] my_tac
theorem T : inhabited (sum false num.num)