X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fmatita%2Ftests%2Fgeneralize.ma;fp=helm%2Fmatita%2Ftests%2Fgeneralize.ma;h=68492baa3a206c5aa14256dec4fadd20b8b539ce;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hp=0000000000000000000000000000000000000000;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953;p=helm.git diff --git a/helm/matita/tests/generalize.ma b/helm/matita/tests/generalize.ma new file mode 100644 index 000000000..68492baa3 --- /dev/null +++ b/helm/matita/tests/generalize.ma @@ -0,0 +1,37 @@ +(**************************************************************************) +(* ___ *) +(* ||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/generalize". +include "legacy/coq.ma". + +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 id "plus_comm" = "cic:/Coq/Arith/Plus/plus_comm.con". +alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)". + +(* This tests is for the case of a pattern that contains metavariables *) +theorem t: \forall x. x + 4 = 4 + x. + intro. + generalize in match (S ?). + intro; apply plus_comm. +qed. + +(* This test used to fail because x was used in the wrong context *) +(* Once this was fixed it still did not work since apply is not *) +(* able to solve a goal that ends in a product. *) +theorem test2: \forall x. 4 + x = x + 4. + generalize in match 4. + exact plus_comm. +qed.