X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLambdaDelta-1%2Fllt%2Fprops.ma;h=41a498780830e3848460efb820a90596964732b7;hb=89519c7b52e06304a94019dd528925300380cdc0;hp=96aab8ccf67e539e12069e8e05850b35d4e2616d;hpb=831af787465e1bff886e22ee14b68c8f1bb0177c;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/llt/props.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/llt/props.ma index 96aab8ccf..41a498780 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/llt/props.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/llt/props.ma @@ -14,11 +14,9 @@ (* This file was automatically generated: do not edit *********************) -set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/llt/props". +include "LambdaDelta-1/llt/defs.ma". -include "llt/defs.ma". - -include "leq/defs.ma". +include "LambdaDelta-1/leq/defs.ma". theorem lweight_repl: \forall (g: G).(\forall (a1: A).(\forall (a2: A).((leq g a1 a2) \to (eq nat @@ -56,18 +54,14 @@ a1) (lweight a2))).(\lambda (H0: (lt (lweight a2) (lweight a3))).(lt_trans theorem llt_head_sx: \forall (a1: A).(\forall (a2: A).(llt a1 (AHead a1 a2))) \def - \lambda (a1: A).(\lambda (a2: A).(le_S_n (S (lweight a1)) (S (plus (lweight -a1) (lweight a2))) (le_n_S (S (lweight a1)) (S (plus (lweight a1) (lweight -a2))) (le_n_S (lweight a1) (plus (lweight a1) (lweight a2)) (le_plus_l -(lweight a1) (lweight a2)))))). + \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: \forall (a1: A).(\forall (a2: A).(llt a2 (AHead a1 a2))) \def - \lambda (a1: A).(\lambda (a2: A).(le_S_n (S (lweight a2)) (S (plus (lweight -a1) (lweight a2))) (le_n_S (S (lweight a2)) (S (plus (lweight a1) (lweight -a2))) (le_n_S (lweight a2) (plus (lweight a1) (lweight a2)) (le_plus_r -(lweight a1) (lweight a2)))))). + \lambda (a1: A).(\lambda (a2: A).(le_n_S (lweight a2) (plus (lweight a1) +(lweight a2)) (le_plus_r (lweight a1) (lweight a2)))). theorem llt_wf__q_ind: \forall (P: ((A \to Prop))).(((\forall (n: nat).((\lambda (P0: ((A \to