some more work on q

[helm.git] / helm / software / matita / contribs / dama / dama / cprop_connectives.ma

diff --git a/helm/software/matita/contribs/dama/dama/cprop_connectives.ma b/helm/software/matita/contribs/dama/dama/cprop_connectives.ma
index 14e21700011917fd53902f5e19eae5cf548d5b72..09b9a6c67fb189d61070b5adf27f5f131bf5a547 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/cprop_connectives.ma
+++ b/helm/software/matita/contribs/dama/dama/cprop_connectives.ma
@@ -21,6 +21,25 @@ inductive Or (A,B:CProp) : CProp ≝
 
 interpretation "constructive or" 'or x y = (Or x y).
 
+inductive Or3 (A,B,C:CProp) : CProp ≝
+ | Left3 : A → Or3 A B C
+ | Middle3 : B → Or3 A B C
+ | Right3 : C → Or3 A B C.
+
+interpretation "constructive ternary or" 'or3 x y z= (Or3 x y z).
+
+notation < "hvbox(a break ∨ b break ∨ c)" with precedence 35 for @{'or3 $a $b $c}.
+
+inductive Or4 (A,B,C,D:CProp) : CProp ≝
+ | Left3 : A → Or4 A B C D
+ | Middle3 : B → Or4 A B C D
+ | Right3 : C → Or4 A B C D
+ | Extra3: D → Or4 A B C D.
+
+interpretation "constructive ternary or" 'or4 x y z t = (Or4 x y z t).
+
+notation < "hvbox(a break ∨ b break ∨ c break ∨ d)" with precedence 35 for @{'or4 $a $b $c $d}.
+
 inductive And (A,B:CProp) : CProp ≝
  | Conj : A → B → And A B.
  
@@ -29,16 +48,16 @@ interpretation "constructive and" 'and x y = (And x y).
 inductive And3 (A,B,C:CProp) : CProp ≝
  | Conj3 : A → B → C → And3 A B C.
 
-notation < "a ∧ b ∧ c" with precedence 35 for @{'and3 $a $b $c}.
+notation < "hvbox(a break ∧ b break ∧ c)" with precedence 35 for @{'and3 $a $b $c}.
  
-interpretation "constructive ternary and" 'and3 x y z = (Conj3 x y z).
+interpretation "constructive ternary and" 'and3 x y z = (And3 x y z).
 
 inductive And4 (A,B,C,D:CProp) : CProp ≝
  | Conj4 : A → B → C → D → And4 A B C D.
 
-notation < "a ∧ b ∧ c ∧ d" with precedence 35 for @{'and4 $a $b $c $d}.
+notation < "hvbox(a break ∧ b break ∧ c break ∧ d)" with precedence 35 for @{'and4 $a $b $c $d}.
  
-interpretation "constructive quaternary and" 'and4 x y z t = (Conj4 x y z t).
+interpretation "constructive quaternary and" 'and4 x y z t = (And4 x y z t).
 
 inductive exT (A:Type) (P:A→CProp) : CProp ≝
   ex_introT: ∀w:A. P w → exT A P.
@@ -93,3 +112,4 @@ definition antisymmetric ≝ λA:Type.λR:A→A→CProp.λeq:A→A→Prop.∀x:A
 definition reflexive ≝ λA:Type.λR:A→A→CProp.∀x:A.R x x.
 
 definition transitive ≝ λA:Type.λR:A→A→CProp.∀x,y,z:A.R x y → R y z → R x z.
+