+++ /dev/null
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-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
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-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
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-(**************************************************************************)
-
-set "baseuri" "cic:/matita/tests/replace/".
-include "legacy/coq.ma".
-alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
-alias num (instance 0) = "natural number".
-alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
-alias symbol "plus" (instance 0) = "Coq's natural plus".
-alias symbol "times" (instance 0) = "Coq's natural times".
-alias id "mult_n_O" = "cic:/Coq/Init/Peano/mult_n_O.con".
-alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
-
-theorem t: \forall x:nat. x * (x + 0) = (0 + x) * (x + x * 0).
- intro.
- replace in \vdash (? ? (? ? %) (? % %)) with x.
- reflexivity.
- rewrite < (mult_n_O x).
- rewrite < (plus_n_O x).
- reflexivity.
- reflexivity.
- auto.
-qed.
-
-(* This test tests "replace in match t" where t contains some metavariables *)
-theorem t2: 2 + (3 * 4) = (5 + 5) + 2 * 2.
- replace in match (5+?) with (6 + 4); [reflexivity | reflexivity].
-qed.