Some notation moved to core_notation.

[helm.git] / helm / software / matita / library / logic / cprop_connectives.ma

diff --git a/helm/software/matita/library/logic/cprop_connectives.ma b/helm/software/matita/library/logic/cprop_connectives.ma
index fe377cbd954d0fd9331935efc7360bdb380b12ba..c0bbdda18f3212715b49e5c8412cb7523c81e2ce 100644 (file)
--- a/helm/software/matita/library/logic/cprop_connectives.ma
+++ b/helm/software/matita/library/logic/cprop_connectives.ma
@@ -12,6 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "logic/connectives.ma".
+
 inductive Or (A,B:CProp) : CProp ≝
  | Left : A → Or A B
  | Right : B → Or A B.
@@ -56,6 +58,13 @@ notation < "hvbox(a break ∧ b break ∧ c break ∧ d)" with precedence 35 for
  
 interpretation "constructive quaternary and" 'and4 x y z t = (And4 x y z t).
 
+record Iff (A,B:CProp) : CProp ≝
+ { if: A → B;
+   fi: B → A
+ }.
+
+interpretation "logical iff" 'iff x y = (Iff x y).
+
 inductive exT (A:Type) (P:A→CProp) : CProp ≝
   ex_introT: ∀w:A. P w → exT A P.
   
@@ -101,7 +110,6 @@ interpretation "exT2 \snd" 'pi2b x y = (pi2exT23 _ _ _ _ x y).
 inductive exT2 (A:Type) (P,Q:A→CProp) : CProp ≝
   ex_introT2: ∀w:A. P w → Q w → exT2 A P Q.
 
-alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)".
 definition Not : CProp → Prop ≝ λx:CProp.x → False.
 
 interpretation "constructive not" 'not x = (Not x).