X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fchange.ma;fp=helm%2Fmatita%2Ftests%2Fchange.ma;h=b2ae3b7a05cbfaf44784daa4c027a71316fa208b;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hp=0000000000000000000000000000000000000000;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953;p=helm.git diff --git a/helm/matita/tests/change.ma b/helm/matita/tests/change.ma new file mode 100644 index 000000000..b2ae3b7a0 --- /dev/null +++ b/helm/matita/tests/change.ma @@ -0,0 +1,40 @@ +(**************************************************************************) +(* ___ *) +(* ||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/change/". +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 "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)". + +theorem stupid: + \forall a:nat. + a = 5 \to + (3 + 2) = a. +intros. +change in \vdash (? ? % ?) with 5. +rewrite < H in \vdash (? ? % ?). +reflexivity. +qed. + +(* tests changing a term under a binder *) +alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)". +theorem t: (\forall x:nat. x=x) \to True. + intro H. + change in match x in H : (\forall _.%) with (0+x). + change in H: (\forall _.(? ? ? (? % ?))) with 0. + constructor 1. +qed. +