X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Freplace.ma;fp=helm%2Fmatita%2Ftests%2Freplace.ma;h=2b174af6478ff4917ac71137a11cc104af6c5d8b;hp=0000000000000000000000000000000000000000;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953 diff --git a/helm/matita/tests/replace.ma b/helm/matita/tests/replace.ma new file mode 100644 index 000000000..2b174af64 --- /dev/null +++ b/helm/matita/tests/replace.ma @@ -0,0 +1,39 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +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.