ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / lib / functions.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/lib/functions.ma b/matita/matita/contribs/lambdadelta/ground_2/lib/functions.ma
deleted file mode 100644 (file)
index 739fb8d..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/lib/functions.ma
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@@ -1,34 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "ground_2/lib/relations.ma".
-
-(* FUNCTIONS ****************************************************************)
-
-definition left_identity (A) (f): predicate A ≝ λi. ∀a:A. a = f i a.
-
-definition right_identity (A) (f): predicate A ≝ λi. ∀a:A. a = f a i.
-
-definition compatible_2 (A) (B):
-                        relation3 … (relation A) (relation B) ≝
-                        λf,Sa,Sb.
-                        ∀a1,a2. Sa a1 a2 → Sb (f a1) (f a2).
-
-definition compatible_3 (A) (B) (C):
-                        relation4 … (relation A) (relation B) (relation C) ≝
-                        λf,Sa,Sb,Sc.
-                        ∀a1,a2. Sa a1 a2 → ∀b1,b2. Sb b1 b2 → Sc (f a1 b1) (f a2 b2).
-
-definition annulment_2 (A) (f): predicate A ≝
-                       λi:A. ∀a1,a2. i = f a1 a2 → ∧∧ i = a1 & i = a2.