update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_proper.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
index e519394f4e98d76220a7a3000ff6c7aeb96a28cd..fca2eb91aae63a0d4f1b69d459df52cc54b98e05 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
@@ -13,7 +13,8 @@
 (**************************************************************************)
 
 include "delayed_updating/syntax/path.ma".
-include "delayed_updating/notation/relations/predicate_p_tail_1.ma".
+include "delayed_updating/notation/functions/class_p_0.ma".
+include "ground/lib/subset.ma".
 include "ground/xoa/ex_1_2.ma".
 
 (* PROPER CONDITION FOR PATH ************************************************)
@@ -24,18 +25,18 @@ definition ppc: predicate path ≝
 
 interpretation
   "proper condition (path)"
-  'PredicatePTail p = (ppc p).
+  'ClassP = (ppc).
 
 (* Basic constructions ******************************************************)
 
-lemma ppc_lcons (l) (q): Ꝕ(l◗q).
+lemma ppc_lcons (l) (q): l◗q ϵ 𝐏.
 #l #p #H destruct
 qed.
 
 (* Basic inversions ********************************************************)
 
 lemma ppc_inv_lcons (p):
-      Ꝕp → ∃∃l,q. l◗q = p.
+      p ϵ 𝐏 → ∃∃l,q. l◗q = p.
 *
 [ #H elim H -H //
 | #l #q #_ /2 width=3 by ex1_2_intro/