class definition updated (but buggy now)

diff --git a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
index 17a53f64f57ec30e013bdb79d514d5002f6b6bef..3cb2391742186f2450bfe3b24fa014e3bae0058c 100644 (file)
--- a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
+++ b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
@@ -16,7 +16,7 @@
 
 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_defs".
 
-include "../../library/logic/connectives.ma".
+include "logic/connectives.ma".
 
 (* ACZEL CATEGORIES:
    - We use typoids with a compatible membership relation
@@ -39,13 +39,39 @@ definition false_f \def \lambda (X:Type). \lambda (_:X). False.
 record Class: Type \def {
    class:> Type;
    cin: class \to Prop;
-   cle1: class \to class \to Prop
+   ceq: class \to class \to Prop;
+   cin_repl: \forall c1,c2. cin c1 \to ceq c1 c2 \to cin c2;
+   ceq_repl: \forall c1,c2,d1,d2. cin c1 \to
+      ceq c1 c2 \to ceq c1 d1 \to ceq c2 d2 \to ceq d1 d2;
+   ceq_refl: \forall c. cin c \to ceq c c
 }.
 
-inductive cle (C:Class) (c1:C): C \to Prop \def
-   | cle_refl: cin ? c1 \to cle ? c1 c1
-   | ceq_sing: \forall c2,c3. 
-               cle ? c1 c2 \to cin ? c3 \to cle1 ? c2 c3 \to cle ? c1 c3.
+(* external universal quantification *)
+inductive call (C:Class) (P:C \to Prop) : Prop \def
+   | call_intro: (\forall c. cin ? c \to P c) \to call C P.
 
-inductive ceq (C:Class) (c1:C) (c2:C): Prop \def
-   | ceq_intro: cle ? c1 c2 \to cle ? c2 c1 \to ceq ? c1 c2.
+inductive call2 (C1,C2:Class) (P:C1 \to C2 \to Prop) : Prop \def
+   | call2_intro: 
+      (\forall c1,c2. cin ? c1 \to cin ? c2 \to P c1 c2) \to call2 C1 C2 P.
+
+(* notations **************************************************************)
+
+(*CSC: the URI must disappear: there is a bug now *)
+interpretation "external for all" 'xforall \eta.x =
+  (cic:/matita/PREDICATIVE-TOPOLOGY/class_defs/call.ind#xpointer(1/1) _ x).
+
+notation > "hvbox(\xforall ident i opt (: ty) break . p)"
+  right associative with precedence 20
+for @{ 'xforall ${default
+  @{\lambda ${ident i} : $ty. $p}
+  @{\lambda ${ident i} . $p}}}.
+
+(*CSC: the URI must disappear: there is a bug now *)
+interpretation "external for all 2" 'xforall2 \eta.x \eta.y =
+  (cic:/matita/PREDICATIVE-TOPOLOGY/class_defs/call2.ind#xpointer(1/1) _ _ x y).
+
+notation > "hvbox(\xforall ident i1 opt (: ty1) ident i2 opt (: ty2) break . p)"
+  right associative with precedence 20
+for @{ 'xforall2 ${default
+  @{\lambda ${ident i1} : $ty1. \lambda ${ident i2} : $ty2. $p}
+  @{\lambda ${ident i1}, ${ident i2}. $p}}}.

diff --git a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
index cfcb57293f6a066eced2e45621d9387398db64b9..7634cbde1171f65fa92d126eea1c8a872fc2f971 100644 (file)
--- a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
+++ b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
@@ -14,25 +14,17 @@
 
 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_eq".
 
-include "class_le.ma".
+include "class_defs.ma".
 
-theorem ceq_cl: \forall C,c1,c2. ceq ? c1 c2 \to cin C c1 \land cin C c2.
-intros; elim H; clear H.
-lapply cle_cl to H1 using H; clear H1; decompose H;
-lapply cle_cl to H2 using H; clear H2; decompose H.
-auto.
-qed.
-
-theorem ceq_refl: \forall C,c. cin C c \to ceq ? c c.
-intros; apply ceq_intro; auto.
-qed.
+theorem ceq_trans: \forall C. \xforall c1,c2. ceq C c1 c2 \to 
+                   \xforall c3. ceq ? c2 c3 \to ceq ? c1 c3.
+intros.
 
-theorem ceq_trans: \forall C,c2,c1,c3.
-                   ceq C c2 c3 \to ceq ? c1 c2 \to ceq ? c1 c3.
-intros; elim H; elim H1; clear H; clear H1.
+(*
 apply ceq_intro; apply cle_trans; [|auto|auto||auto|auto].
 qed.
 
 theorem ceq_sym: \forall C,c1,c2. ceq C c1 c2 \to ceq C c2 c1.
 intros; elim H; clear H.; auto.
 qed.
+*)
\ No newline at end of file

diff --git a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_le.ma b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_le.ma
deleted file mode 100644 (file)
index a688ec6..0000000
--- a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_le.ma
+++ /dev/null
@@ -1,28 +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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_le".
-
-include "class_defs.ma".
-
-theorem cle_cl: \forall C,c1,c2. cle ? c1 c2 \to cin C c1 \land cin C c2.
-intros; elim H; clear H; clear c2; 
-   [| decompose H2 ]; auto.
-qed.
-
-theorem cle_trans: \forall C,c1,c2. cle C c1 c2 \to 
-                   \forall c3. cle ? c3 c1 \to cle ? c3 c2.
-intros 4; elim H; clear H; clear c2;
-   [| apply ceq_sing; [||| apply H4 ]]; auto.
-qed.