X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Ftests%2Funifhint.ma;h=310512b5a73003a332c028582837ed67e4cc95d9;hb=b97a7976503b2d2e5cbc9199f848135a324775a8;hp=42e9f687888ffd12ddf5cb9bdded6af59a35963d;hpb=c7605859c88549b8a812a19b85b3bbba53182ada;p=helm.git diff --git a/helm/software/matita/tests/unifhint.ma b/helm/software/matita/tests/unifhint.ma index 42e9f6878..310512b5a 100644 --- a/helm/software/matita/tests/unifhint.ma +++ b/helm/software/matita/tests/unifhint.ma @@ -88,6 +88,18 @@ unification hint 0 (∀g:group.∀G:list (gcarr g).∀x. 〚x,G〛 = V). *) +include "nat/plus.ma". +unification hint 0 (∀x,y.S x + y = S (x + y)). + +axiom T : nat → Prop. +axiom F : ∀n,k.T (S (n + k)) → Prop. +lemma diverge: ∀k,k1.∀h:T (? + k).F ? k1 h. + ?+k = S(?+k1) + S?1 + k S(?1+k1) + +lemma test : ∀g:group.∀x,y:gcarr g. ∀h:P ? ((𝟙 * x) * (x^-1 * y)). + start g ? ? h. + lemma test : ∀g:group.∀x,y:gcarr g. ∀h:P ? ((𝟙 * x) * (x^-1 * y)). start g ? ? h.