X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fcsubst0%2Fdefs.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fcsubst0%2Fdefs.ma;h=3f5e59e677b1d8433f20a0badb1ab357c4afbb77;hb=3531d88e2a19cba027b4b882f8dd74bf37283b9c;hp=0000000000000000000000000000000000000000;hpb=89519c7b52e06304a94019dd528925300380cdc0;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/csubst0/defs.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/csubst0/defs.ma new file mode 100644 index 000000000..3f5e59e67 --- /dev/null +++ b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/csubst0/defs.ma @@ -0,0 +1,32 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +include "LambdaDelta-1/subst0/defs.ma". + +include "LambdaDelta-1/C/defs.ma". + +inductive csubst0: nat \to (T \to (C \to (C \to Prop))) \def +| csubst0_snd: \forall (k: K).(\forall (i: nat).(\forall (v: T).(\forall (u1: +T).(\forall (u2: T).((subst0 i v u1 u2) \to (\forall (c: C).(csubst0 (s k i) +v (CHead c k u1) (CHead c k u2)))))))) +| csubst0_fst: \forall (k: K).(\forall (i: nat).(\forall (c1: C).(\forall +(c2: C).(\forall (v: T).((csubst0 i v c1 c2) \to (\forall (u: T).(csubst0 (s +k i) v (CHead c1 k u) (CHead c2 k u)))))))) +| csubst0_both: \forall (k: K).(\forall (i: nat).(\forall (v: T).(\forall +(u1: T).(\forall (u2: T).((subst0 i v u1 u2) \to (\forall (c1: C).(\forall +(c2: C).((csubst0 i v c1 c2) \to (csubst0 (s k i) v (CHead c1 k u1) (CHead c2 +k u2)))))))))). +