X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=aa4fa1f3285ad09f7cb64ce287cda697680b3881;hb=18b2b2742fe8ebb3d11b32b9bb727f510df6927a;hp=e99d75e837ca2140ea67287e4b9203170d267de4;hpb=46638981d5909c89b85fda70016748942366153f;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index e99d75e83..aa4fa1f32 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -1,9 +1,34 @@ +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". +alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". + theorem a: \forall a,b:nat. - a = b \to b + 0 = a. + a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a. intros. -rewrite left H. \ No newline at end of file +rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)). + +rewrite < H in \vdash (? ? % ?). + +simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)). + +rewrite < H in \vdash (? ? ? (% ?)). +simplify. +reflexivity. +qed. + +theorem t: \forall n. 0=0 \to n = n + 0. + intros. + apply plus_n_O. +qed. + +(* In this test "rewrite < t" should open a new goal 0=0 and put it in *) +(* the goallist so that the THEN tactical closes it using reflexivity. *) +theorem foo: \forall n. n = n + 0. + intros. + rewrite < t; reflexivity. +qed. \ No newline at end of file