2014-01-05 20:05:08 +00:00
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import Int.
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2014-01-05 18:32:47 +00:00
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(*
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2013-12-07 23:37:54 +00:00
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2014-01-06 03:10:21 +00:00
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-- Tactic for trying to prove goal using reflexivity, congruence and available assumptions
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congr_tac = Try(unfold_tac("eq")) .. Repeat(OrElse(apply_tac("refl"), apply_tac("congr"), assumption_tac()))
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2013-12-07 23:37:54 +00:00
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2014-01-05 18:32:47 +00:00
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*)
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2013-12-07 23:37:54 +00:00
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2014-01-16 00:35:33 +00:00
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exit -- temporarily disable the following test
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2014-01-05 20:05:08 +00:00
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theorem T1 (a b : Int) (f : Int -> Int) : a = b -> (f (f a)) = (f (f b)) :=
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2013-12-07 23:37:54 +00:00
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fun assumption : a = b,
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2014-01-05 19:25:58 +00:00
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have (f (f a)) = (f (f b)) by congr_tac
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2013-12-07 23:37:54 +00:00
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2014-01-05 20:05:08 +00:00
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print environment 1.
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