snapshot

[helm.git] / matita / dama / constructive_connectives.ma

diff --git a/matita/dama/constructive_connectives.ma b/matita/dama/constructive_connectives.ma
index 259357934da012a99aba8adafac2febba1152462..b7f15e500075501618d99718ff90c173de60c857 100644 (file)
--- a/matita/dama/constructive_connectives.ma
+++ b/matita/dama/constructive_connectives.ma
@@ -18,6 +18,23 @@ inductive or (A,B:Type) : Type \def
    Left : A → or A B
  | Right : B → or A B.
 
-interpretation "classical or" 'or x y =
+interpretation "constructive or" 'or x y =
   (cic:/matita/constructive_connectives/or.ind#xpointer(1/1) x y).
 
+inductive ex (A:Type) (P:A→Prop) : Type \def
+  ex_intro: ∀w:A. P w → ex A P.
+
+notation < "hvbox(Σ ident i opt (: ty) break . p)"
+  right associative with precedence 20
+for @{ 'sigma ${default
+  @{\lambda ${ident i} : $ty. $p)}
+  @{\lambda ${ident i} . $p}}}.
+
+interpretation "constructive exists" 'sigma \eta.x =
+  (cic:/matita/constructive_connectives/ex.ind#xpointer(1/1) _ x).
+
+alias id "False" = "cic:/matita/logic/connectives/False.ind#xpointer(1/1)".
+definition Not ≝ λx:Type.False.
+
+interpretation "constructive not" 'not x = 
+  (cic:/matita/constructive_connectives/Not.con x).
\ No newline at end of file