X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=3941ab0cb4d1e1d53cbc0be4b6fc64a921864714;hb=3ea21b6d721c759876aa53385b421cb1412e11f5;hp=e597e66ef276b9ac0a6fc20197a55e7281f0b45f;hpb=e32693f30563379989b75b53c3be088396b732da;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index e597e66ef..3941ab0cb 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -1,11 +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 + a = a + a. + a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a. intros. -rewrite right H in \vdash (? ? % ?). +rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)). + +rewrite < H in \vdash (? ? % ?). + +simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)). + +rewrite < H in \vdash (? ? ? (% ?)). +simplify. reflexivity. -qed. \ No newline at end of file +qed. +