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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/csubst0/defs".
19 include "subst0/defs.ma".
23 inductive csubst0: nat \to (T \to (C \to (C \to Prop))) \def
24 | csubst0_snd: \forall (k: K).(\forall (i: nat).(\forall (v: T).(\forall (u1:
25 T).(\forall (u2: T).((subst0 i v u1 u2) \to (\forall (c: C).(csubst0 (s k i)
26 v (CHead c k u1) (CHead c k u2))))))))
27 | csubst0_fst: \forall (k: K).(\forall (i: nat).(\forall (c1: C).(\forall
28 (c2: C).(\forall (v: T).((csubst0 i v c1 c2) \to (\forall (u: T).(csubst0 (s
29 k i) v (CHead c1 k u) (CHead c2 k u))))))))
30 | csubst0_both: \forall (k: K).(\forall (i: nat).(\forall (v: T).(\forall
31 (u1: T).(\forall (u2: T).((subst0 i v u1 u2) \to (\forall (c1: C).(\forall
32 (c2: C).((csubst0 i v c1 c2) \to (csubst0 (s k i) v (CHead c1 k u1) (CHead c2