matita/contribs/LOGIC/Insert/fun.ma

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  14
  15
  16
  17 include "CLE/defs.ma".
  18 include "Insert/inv.ma".
  19
  20 (* Functional properties ****************************************************)
  21 (*
  22 theorem insert_total: \forall S,i,P. i <= P \to \exists Q. Insert S i P Q.
  23  intros 4; elim H; clear H i P;
  24  decompose; autobatch.
  25 qed.
  26
  27 theorem insert_inj: \forall S1,i,P, Q. Insert S1 i P Q \to
  28                     \forall S2. Insert S2 i P Q \to S1 = S2.
  29  intros 5; elim H; clear H i P Q;
  30  [ lapply linear insert_inv_zero to H1; destruct; autobatch
  31  | lapply linear insert_inv_succ to H3; decompose; destruct; autobatch
  32  ].
  33 qed.
  34 *)