(* *)
(**************************************************************************)
-set "baseuri" "cic:/matita/LOGIC/Insert/defs".
+
(* INSERT RELATION FOR CONTEXTS
*)
-include "datatypes/Context.ma".
+include "Lift/defs.ma".
+include "datatypes_defs/Context.ma".
-inductive Insert (S:Sequent): Nat \to Context \to Context \to Prop \def
- | insert_zero: \forall P. Insert S zero P (abst P S)
- | insert_succ: \forall P,Q,R,i.
- Insert S i P Q \to Insert S (succ i) (abst P R) (abst Q R)
+inductive Insert (p,q:Proof) (S:Sequent):
+ Nat \to Context \to Context \to Prop \def
+ | insert_zero: \forall P. Insert p q S zero P (abst P p q S)
+ | insert_succ: \forall P,Q,i. Insert p q S i P Q \to
+ \forall p1,p2. Lift i (succ zero) p1 p2 \to
+ \forall q1,q2. Lift i (succ zero) q1 q2 \to \forall R.
+ Insert p q S (succ i) (abst P p1 q1 R) (abst Q p2 q2 R)
.