X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fformal_topology%2Foverlap%2Fcprop_connectives.ma;h=a1faba399dbce83504ae25a27776a95cecc88936;hb=1470ff47df1349333c6b721a1c162cc7dfc6806f;hp=59473882d6663d8b92ce8de55d31b63124fb7da2;hpb=13114a0147a28f8c7359c9c19ee254716eb5f55a;p=helm.git

diff --git a/helm/software/matita/contribs/formal_topology/overlap/cprop_connectives.ma b/helm/software/matita/contribs/formal_topology/overlap/cprop_connectives.ma
index 59473882d..a1faba399 100644
--- a/helm/software/matita/contribs/formal_topology/overlap/cprop_connectives.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/cprop_connectives.ma
@@ -102,27 +102,43 @@ notation "hvbox(a break ⇔ b)" right associative with precedence 25 for @{'iff1
 interpretation "logical iff" 'iff x y = (Iff x y).
 interpretation "logical iff type1" 'iff1 x y = (Iff1 x y).
 
+inductive exT22 (A:Type2) (P:A→CProp2) : CProp2 ≝
+  ex_introT22: ∀w:A. P w → exT22 A P.
+  
+interpretation "CProp2 exists" 'exists \eta.x = (exT22 ? x).
+
+definition pi1exT22 ≝ λA,P.λx:exT22 A P.match x with [ex_introT22 x _ ⇒ x].
+definition pi2exT22 ≝ 
+  λA,P.λx:exT22 A P.match x return λx.P (pi1exT22 ?? x) with [ex_introT22 _ p ⇒ p].
+  
+interpretation "exT22 \fst" 'pi1 = (pi1exT22 ? ?).
+interpretation "exT22 \snd" 'pi2 = (pi2exT22 ? ?).
+interpretation "exT22 \fst a" 'pi1a x = (pi1exT22 ? ? x).
+interpretation "exT22 \snd a" 'pi2a x = (pi2exT22 ? ? x).
+interpretation "exT22 \fst b" 'pi1b x y = (pi1exT22 ? ? x y).
+interpretation "exT22 \snd b" 'pi2b x y = (pi2exT22 ? ? x y).
+
 inductive exT (A:Type0) (P:A→CProp0) : CProp0 ≝
   ex_introT: ∀w:A. P w → exT A P.
 
-interpretation "CProp exists" 'exists \eta.x = (exT _ x).
+interpretation "CProp exists" 'exists \eta.x = (exT ? x).
 
 notation "\ll term 19 a, break term 19 b \gg" 
 with precedence 90 for @{'dependent_pair $a $b}.
 interpretation "dependent pair" 'dependent_pair a b = 
-  (ex_introT _ _ a b).
+  (ex_introT ? ? a b).
 
 
 definition pi1exT ≝ λA,P.λx:exT A P.match x with [ex_introT x _ ⇒ x].
 definition pi2exT ≝ 
   λA,P.λx:exT A P.match x return λx.P (pi1exT ?? x) with [ex_introT _ p ⇒ p].
 
-interpretation "exT \fst" 'pi1 = (pi1exT _ _).
-interpretation "exT \fst" 'pi1a x = (pi1exT _ _ x).
-interpretation "exT \fst" 'pi1b x y = (pi1exT _ _ x y).
-interpretation "exT \snd" 'pi2 = (pi2exT _ _).
-interpretation "exT \snd" 'pi2a x = (pi2exT _ _ x).
-interpretation "exT \snd" 'pi2b x y = (pi2exT _ _ x y).
+interpretation "exT \fst" 'pi1 = (pi1exT ? ?).
+interpretation "exT \fst a" 'pi1a x = (pi1exT ? ? x).
+interpretation "exT \fst b" 'pi1b x y = (pi1exT ? ? x y).
+interpretation "exT \snd" 'pi2 = (pi2exT ? ?).
+interpretation "exT \snd a" 'pi2a x = (pi2exT ? ? x).
+interpretation "exT \snd b" 'pi2b x y = (pi2exT ? ? x y).
 
 inductive exT23 (A:Type0) (P:A→CProp0) (Q:A→CProp0) (R:A→A→CProp0) : CProp0 ≝
   ex_introT23: ∀w,p:A. P w → Q p → R w p → exT23 A P Q R.
@@ -132,18 +148,16 @@ definition pi1exT23 ≝
 definition pi2exT23 ≝
   λA,P,Q,R.λx:exT23 A P Q R.match x with [ex_introT23 _ x _ _ _ ⇒ x].
 
-interpretation "exT2 \fst" 'pi1 = (pi1exT23 _ _ _ _).
-interpretation "exT2 \snd" 'pi2 = (pi2exT23 _ _ _ _).   
-interpretation "exT2 \fst" 'pi1a x = (pi1exT23 _ _ _ _ x).
-interpretation "exT2 \snd" 'pi2a x = (pi2exT23 _ _ _ _ x).
-interpretation "exT2 \fst" 'pi1b x y = (pi1exT23 _ _ _ _ x y).
-interpretation "exT2 \snd" 'pi2b x y = (pi2exT23 _ _ _ _ x y).
+interpretation "exT2 \fst" 'pi1 = (pi1exT23 ? ? ? ?).
+interpretation "exT2 \snd" 'pi2 = (pi2exT23 ? ? ? ?).   
+interpretation "exT2 \fst a" 'pi1a x = (pi1exT23 ? ? ? ? x).
+interpretation "exT2 \snd a" 'pi2a x = (pi2exT23 ? ? ? ? x).
+interpretation "exT2 \fst b" 'pi1b x y = (pi1exT23 ? ? ? ? x y).
+interpretation "exT2 \snd b" 'pi2b x y = (pi2exT23 ? ? ? ? x y).
 
 inductive exT2 (A:Type0) (P,Q:A→CProp0) : CProp0 ≝
   ex_introT2: ∀w:A. P w → Q w → exT2 A P Q.
 
-inductive exT22 (A:Type2) (P:A→CProp2) : CProp2 ≝
-  ex_introT22: ∀w:A. P w → exT22 A P.
 
 definition Not : CProp0 → Prop ≝ λx:CProp.x → False.