lean2/tests/lean/tactic14.lean
Leonardo de Moura 935c2a03a3 feat(*): change name conventions for Lean builtin libraries
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:21:44 -08:00

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Text

import Int.
(*
-- Tactic for trying to prove goal using reflexivity, congruence and available assumptions
congr_tac = Try(unfold_tac("eq")) .. Repeat(OrElse(apply_tac("refl"), apply_tac("congr"), assumption_tac()))
*)
theorem T1 (a b : Int) (f : Int -> Int) : a = b -> (f (f a)) = (f (f b)) :=
fun assumption : a = b,
have (f (f a)) = (f (f b)) by congr_tac
print environment 1.