X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fdama%2Fconstructive_connectives.ma;h=8518d7ede45f0a68a07586f79ef1bccf4b219625;hb=515b66b082bf6e1553d1aa75ba632b99a4d88e27;hp=461f90e6dd66ef507029de1e0494ecb0859097c0;hpb=f1a90ee8745c3fa5324e7a7e8c2f8398483c1ff6;p=helm.git

diff --git a/helm/software/matita/dama/constructive_connectives.ma b/helm/software/matita/dama/constructive_connectives.ma
index 461f90e6d..8518d7ede 100644
--- a/helm/software/matita/dama/constructive_connectives.ma
+++ b/helm/software/matita/dama/constructive_connectives.ma
@@ -14,21 +14,40 @@
 
 set "baseuri" "cic:/matita/constructive_connectives/".
 
-inductive or (A,B:Type) : Type \def
-   Left : A → or A B
- | Right : B → or A B.
+inductive Or (A,B:Type) : Type ≝
+   Left : A → Or A B
+ | Right : B → Or A B.
 
 interpretation "constructive or" 'or x y =
-  (cic:/matita/constructive_connectives/or.ind#xpointer(1/1) x y).
+  (cic:/matita/constructive_connectives/Or.ind#xpointer(1/1) x y).
 
-inductive ex (A:Type) (P:A→Prop) : Type \def
+inductive And (A,B:Type) : Type ≝
+ | Conj : A → B → And A B.
+ 
+interpretation "constructive and" 'and x y =
+  (cic:/matita/constructive_connectives/And.ind#xpointer(1/1) x y).
+
+inductive exT (A:Type) (P:A→Type) : Type ≝
+  ex_introT: ∀w:A. P w → exT A P.
+
+inductive ex (A:Type) (P:A→Prop) : Type ≝
   ex_intro: ∀w:A. P w → ex A P.
 
+(*
 notation < "hvbox(Σ ident i opt (: ty) break . p)"
   right associative with precedence 20
-for @{ 'exists ${default
+for @{ 'sigma ${default
   @{\lambda ${ident i} : $ty. $p)}
   @{\lambda ${ident i} . $p}}}.
+*)
+
+interpretation "constructive exists" 'exists \eta.x =
+  (cic:/matita/constructive_connectives/ex.ind#xpointer(1/1) _ x).
+interpretation "constructive exists (Type)" 'exists \eta.x =
+  (cic:/matita/constructive_connectives/exT.ind#xpointer(1/1) _ x).
+
+alias id "False" = "cic:/matita/logic/connectives/False.ind#xpointer(1/1)".
+definition Not ≝ λx:Type.x → False.
 
-interpretation "constructive exists" 'sigma \eta.x =
-  (cic:/matita/constructive_connectives/ex.ind#xpointer(1/1) _ x).
\ No newline at end of file
+interpretation "constructive not" 'not x = 
+  (cic:/matita/constructive_connectives/Not.con x).