X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda%2Fxoa.ma;h=9d4ee880bfb12784259e0ac025e9fd5076210879;hb=178820be7648a60af17837727e51fd1f3f2791db;hp=1a92dbad046c512928465cc6e2a07736a3dbc574;hpb=f8bc120b39bd74ade4e11d4d3ef4355f66c42495;p=helm.git

diff --git a/matita/matita/contribs/lambda/xoa.ma b/matita/matita/contribs/lambda/xoa.ma
index 1a92dbad0..9d4ee880b 100644
--- a/matita/matita/contribs/lambda/xoa.ma
+++ b/matita/matita/contribs/lambda/xoa.ma
@@ -16,13 +16,21 @@
 
 include "basics/pts.ma".
 
-(* multiple existental quantifier (2, 1) *)
+(* multiple existental quantifier (2, 2) *)
 
-inductive ex2_1 (A0:Type[0]) (P0,P1:A0→Prop) : Prop ≝
-   | ex2_1_intro: ∀x0. P0 x0 → P1 x0 → ex2_1 ? ? ?
+inductive ex2_2 (A0,A1:Type[0]) (P0,P1:A0→A1→Prop) : Prop ≝
+   | ex2_2_intro: ∀x0,x1. P0 x0 x1 → P1 x0 x1 → ex2_2 ? ? ? ?
 .
 
-interpretation "multiple existental quantifier (2, 1)" 'Ex P0 P1 = (ex2_1 ? P0 P1).
+interpretation "multiple existental quantifier (2, 2)" 'Ex P0 P1 = (ex2_2 ? ? P0 P1).
+
+(* multiple existental quantifier (3, 1) *)
+
+inductive ex3_1 (A0:Type[0]) (P0,P1,P2:A0→Prop) : Prop ≝
+   | ex3_1_intro: ∀x0. P0 x0 → P1 x0 → P2 x0 → ex3_1 ? ? ? ?
+.
+
+interpretation "multiple existental quantifier (3, 1)" 'Ex P0 P1 P2 = (ex3_1 ? P0 P1 P2).
 
 (* multiple existental quantifier (3, 2) *)
 
@@ -32,6 +40,22 @@ inductive ex3_2 (A0,A1:Type[0]) (P0,P1,P2:A0→A1→Prop) : Prop ≝
 
 interpretation "multiple existental quantifier (3, 2)" 'Ex P0 P1 P2 = (ex3_2 ? ? P0 P1 P2).
 
+(* multiple existental quantifier (3, 3) *)
+
+inductive ex3_3 (A0,A1,A2:Type[0]) (P0,P1,P2:A0→A1→A2→Prop) : Prop ≝
+   | ex3_3_intro: ∀x0,x1,x2. P0 x0 x1 x2 → P1 x0 x1 x2 → P2 x0 x1 x2 → ex3_3 ? ? ? ? ? ?
+.
+
+interpretation "multiple existental quantifier (3, 3)" 'Ex P0 P1 P2 = (ex3_3 ? ? ? P0 P1 P2).
+
+(* multiple existental quantifier (4, 3) *)
+
+inductive ex4_3 (A0,A1,A2:Type[0]) (P0,P1,P2,P3:A0→A1→A2→Prop) : Prop ≝
+   | ex4_3_intro: ∀x0,x1,x2. P0 x0 x1 x2 → P1 x0 x1 x2 → P2 x0 x1 x2 → P3 x0 x1 x2 → ex4_3 ? ? ? ? ? ? ?
+.
+
+interpretation "multiple existental quantifier (4, 3)" 'Ex P0 P1 P2 P3 = (ex4_3 ? ? ? P0 P1 P2 P3).
+
 (* multiple disjunction connective (3) *)
 
 inductive or3 (P0,P1,P2:Prop) : Prop ≝