X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fllt%2Fprops.ma;h=0c7cef6283ebb1ab51f50b1e212711a705130a66;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=fe0842328619239fab1287e87b48fa45813e015b;hpb=639e798161afea770f41d78673c0fe3be4125beb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/llt/props.ma b/matita/matita/contribs/lambdadelta/basic_1/llt/props.ma index fe0842328..0c7cef628 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/llt/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/llt/props.ma @@ -18,7 +18,7 @@ include "basic_1/llt/defs.ma". include "basic_1/leq/fwd.ma". -theorem lweight_repl: +lemma lweight_repl: \forall (g: G).(\forall (a1: A).(\forall (a2: A).((leq g a1 a2) \to (eq nat (lweight a1) (lweight a2))))) \def @@ -34,7 +34,7 @@ a0) (lweight a4)) (plus (lweight a3) (lweight a5)) (f_equal2 nat nat nat plus (lweight a0) (lweight a3) (lweight a4) (lweight a5) H1 H3)))))))))) a1 a2 H)))). -theorem llt_repl: +lemma llt_repl: \forall (g: G).(\forall (a1: A).(\forall (a2: A).((leq g a1 a2) \to (\forall (a3: A).((llt a1 a3) \to (llt a2 a3)))))) \def @@ -51,13 +51,13 @@ a3) \to (llt a1 a3))))) a1) (lweight a2))).(\lambda (H0: (lt (lweight a2) (lweight a3))).(lt_trans (lweight a1) (lweight a2) (lweight a3) H H0))))). -theorem llt_head_sx: +lemma llt_head_sx: \forall (a1: A).(\forall (a2: A).(llt a1 (AHead a1 a2))) \def \lambda (a1: A).(\lambda (a2: A).(le_n_S (lweight a1) (plus (lweight a1) (lweight a2)) (le_plus_l (lweight a1) (lweight a2)))). -theorem llt_head_dx: +lemma llt_head_dx: \forall (a1: A).(\forall (a2: A).(llt a2 (AHead a1 a2))) \def \lambda (a1: A).(\lambda (a2: A).(le_n_S (lweight a2) (plus (lweight a1)