X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fex1%2Fprops.ma;h=91ce1745bcad69dfb68c1ba063bd5250ac6aa922;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=95b5201a9baadde663e72395ec437708b968c957;hpb=10c836687dfdf9d23357d7423cfc535e817d843f;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/ex1/props.ma b/matita/matita/contribs/lambdadelta/basic_1/ex1/props.ma index 95b5201a9..91ce1745b 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/ex1/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/ex1/props.ma @@ -28,14 +28,14 @@ include "basic_1/arity/defs.ma". include "basic_1/leq/props.ma". -theorem ex1__leq_sort_SS: +fact ex1__leq_sort_SS: \forall (g: G).(\forall (k: nat).(\forall (n: nat).(leq g (ASort k n) (asucc g (asucc g (ASort (S (S k)) n)))))) \def \lambda (g: G).(\lambda (k: nat).(\lambda (n: nat).(leq_refl g (asucc g (asucc g (ASort (S (S k)) n)))))). -theorem ex1_arity: +lemma ex1_arity: \forall (g: G).(arity g ex1_c ex1_t (ASort O O)) \def \lambda (g: G).(arity_appl g (CHead (CHead (CHead (CSort O) (Bind Abst) @@ -67,7 +67,7 @@ O))) (ex1__leq_sort_SS g O O))) (TSort O) (ASort O O) (arity_sort g (CHead (CHead (CHead (CHead (CSort O) (Bind Abst) (TSort O)) (Bind Abst) (TSort O)) (Bind Abst) (TLRef O)) (Bind Abst) (TLRef (S (S O)))) O))). -theorem ex1_ty3: +lemma ex1_ty3: \forall (g: G).(\forall (u: T).((ty3 g ex1_c ex1_t u) \to (\forall (P: Prop).P))) \def