Require Export subst0_defs.
Require Export csubst0_defs.

(*#* #caption "\\kern-1.2pt axioms for strict substitution in focalized terms",
   "substituted term part", 
   "substituted context part", 
   "substituted both parts"
*)
(*#* #cap #cap c1, c2, t1, t2 #alpha v in W *)  

      Inductive fsubst0 [i:nat; v:T; c1:C; t1:T] : C -> T -> Prop :=
         | fsubst0_snd : (t2:?) (subst0 i v t1 t2) -> (fsubst0 i v c1 t1 c1 t2)
         | fsubst0_fst : (c2:?) (csubst0 i v c1 c2) -> (fsubst0 i v c1 t1 c2 t1)
         | fsubst0_both : (t2:?) (subst0 i v t1 t2) ->
                       (c2:?) (csubst0 i v c1 c2) -> (fsubst0 i v c1 t1 c2 t2).

(*#* #stop file *)

      Hint fsubst0 : ltlc := Constructors fsubst0.