X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=3941ab0cb4d1e1d53cbc0be4b6fc64a921864714;hb=ebc063e65d908c9f35619c92454dbbe76bdabd40;hp=5bae95b1054ae8792dc69deb5eb41a369a7c433b;hpb=92bff24fcd4038decc04e042564fa2f329d5ccb3;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index 5bae95b10..3941ab0cb 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -1,9 +1,23 @@ +set "baseuri" "cic:/matita/tests/rewrite/". + alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)". alias num (instance 0) = "natural number". -alias symbol "eq" (instance 0) = "leibnitz's equality". +alias symbol "eq" (instance 0) = "leibnitz's equality". alias symbol "plus" (instance 0) = "natural plus". + + theorem a: \forall a,b:nat. - a = b \to b + 0 = a. -intro. -rewrite left H. \ No newline at end of file + a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a. +intros. +rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)). + +rewrite < H in \vdash (? ? % ?). + +simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)). + +rewrite < H in \vdash (? ? ? (% ?)). +simplify. +reflexivity. +qed. +