]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_closed.ma
diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "delayed_updating/syntax/path.ma".
-include "delayed_updating/notation/functions/class_c_1.ma".
-include "ground/lib/subset.ma".
-
-include "delayed_updating/syntax/path_depth.ma".
-include "delayed_updating/syntax/path_height.ma".
-
-(* CLOSED CONDITION FOR PATH ************************************************)
-
-axiom pcc: relation2 nat path.
-
-interpretation
-  "closed condition (path)"
-  'ClassC n = (pcc n).
-
-(* Basic destructions *******************************************************)
-
-axiom pcc_empty:
-      (šž) Ļµ š‚āØšŸŽā©.
-
-axiom pcc_d (p) (d) (n:pnat):
-      p Ļµ š‚āØd+nā© ā†’ pā—–š—±n Ļµ š‚āØdā©.
-
-axiom pcc_L (p) (d):
-      p Ļµ š‚āØdā© ā†’ pā—–š—Ÿ Ļµ š‚āØā†‘dā©.
-
-axiom pcc_A (p) (d):
-      p Ļµ š‚āØdā© ā†’ pā—–š—” Ļµ š‚āØdā©.
-
-axiom pcc_S (p) (d):
-      p Ļµ š‚āØdā© ā†’ pā—–š—¦ Ļµ š‚āØdā©.
-
-axiom pcc_des_gen (p) (d):
-      p Ļµ š‚āØdā© ā†’ d + ā™Æp = ā˜pā˜.