X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLambdaDelta-1%2Fs%2Fprops.ma;h=5d6b682a1230e0bc5f16357fa251fec5afa7ad64;hb=e92710b1d9774a6491122668c8463b8658114610;hp=ceb02c249490b792ebf3c95f56078c7775cb8d18;hpb=831af787465e1bff886e22ee14b68c8f1bb0177c;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/s/props.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/s/props.ma index ceb02c249..5d6b682a1 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/s/props.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/s/props.ma @@ -14,9 +14,7 @@ (* This file was automatically generated: do not edit *********************) -set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/s/props". - -include "s/defs.ma". +include "LambdaDelta-1/s/defs.ma". theorem s_S: \forall (k: K).(\forall (i: nat).(eq nat (s k (S i)) (S (s k i)))) @@ -75,8 +73,7 @@ theorem s_le: \def \lambda (k: K).(K_ind (\lambda (k0: K).(\forall (i: nat).(\forall (j: nat).((le i j) \to (le (s k0 i) (s k0 j)))))) (\lambda (_: B).(\lambda (i: -nat).(\lambda (j: nat).(\lambda (H: (le i j)).(le_S_n (S i) (S j) (lt_le_S (S -i) (S (S j)) (lt_n_S i (S j) (le_lt_n_Sm i j H)))))))) (\lambda (_: +nat).(\lambda (j: nat).(\lambda (H: (le i j)).(le_n_S i j H))))) (\lambda (_: F).(\lambda (i: nat).(\lambda (j: nat).(\lambda (H: (le i j)).H)))) k). theorem s_lt: @@ -85,9 +82,8 @@ theorem s_lt: \def \lambda (k: K).(K_ind (\lambda (k0: K).(\forall (i: nat).(\forall (j: nat).((lt i j) \to (lt (s k0 i) (s k0 j)))))) (\lambda (_: B).(\lambda (i: -nat).(\lambda (j: nat).(\lambda (H: (lt i j)).(le_S_n (S (S i)) (S j) (le_n_S -(S (S i)) (S j) (le_n_S (S i) j H))))))) (\lambda (_: F).(\lambda (i: -nat).(\lambda (j: nat).(\lambda (H: (lt i j)).H)))) k). +nat).(\lambda (j: nat).(\lambda (H: (lt i j)).(le_n_S (S i) j H))))) (\lambda +(_: F).(\lambda (i: nat).(\lambda (j: nat).(\lambda (H: (lt i j)).H)))) k). theorem s_inj: \forall (k: K).(\forall (i: nat).(\forall (j: nat).((eq nat (s k i) (s k j))