matita/contribs/LOGIC/Insert/defs.ma

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  14
  15
  16
  17 (* INSERT RELATION FOR CONTEXTS
  18 *)
  19
  20 include "Lift/defs.ma".
  21 include "datatypes_defs/Context.ma".
  22
  23 inductive Insert (p,q:Proof) (S:Sequent):
  24                  Nat \to Context \to Context \to Prop \def
  25    | insert_zero: \forall P. Insert p q S zero P (abst P p q S)
  26    | insert_succ: \forall P,Q,i. Insert p q S i P Q \to
  27                   \forall p1,p2. Lift i (succ zero) p1 p2 \to
  28                   \forall q1,q2. Lift i (succ zero) q1 q2 \to \forall R.
  29                   Insert p q S (succ i) (abst P p1 q1 R) (abst Q p2 q2 R)
  30 .