- more properties on strongly normalizing terms

[helm.git] / matita / matita / contribs / lambda_delta / Ground_2 / xoa.ma

diff --git a/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma b/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma
index 2b75c902d50524eefadcd5f8647f6e14d8afc7bf..1ff53beb4ca3664a0b26b2eb186244dca46d9868 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma
+++ b/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma
@@ -32,6 +32,14 @@ inductive ex2_2 (A0,A1:Type[0]) (P0,P1:A0→A1→Prop) : Prop ≝
 
 interpretation "multiple existental quantifier (2, 2)" 'Ex P0 P1 = (ex2_2 ? ? P0 P1).
 
+(* multiple existental quantifier (2, 3) *)
+
+inductive ex2_3 (A0,A1,A2:Type[0]) (P0,P1:A0→A1→A2→Prop) : Prop ≝
+   | ex2_3_intro: ∀x0,x1,x2. P0 x0 x1 x2 → P1 x0 x1 x2 → ex2_3 ? ? ? ? ?
+.
+
+interpretation "multiple existental quantifier (2, 3)" 'Ex P0 P1 = (ex2_3 ? ? ? P0 P1).
+
 (* multiple existental quantifier (3, 1) *)
 
 inductive ex3_1 (A0:Type[0]) (P0,P1,P2:A0→Prop) : Prop ≝
@@ -80,6 +88,14 @@ inductive ex4_4 (A0,A1,A2,A3:Type[0]) (P0,P1,P2,P3:A0→A1→A2→A3→Prop) : P
 
 interpretation "multiple existental quantifier (4, 4)" 'Ex P0 P1 P2 P3 = (ex4_4 ? ? ? ? P0 P1 P2 P3).
 
+(* multiple existental quantifier (5, 2) *)
+
+inductive ex5_2 (A0,A1:Type[0]) (P0,P1,P2,P3,P4:A0→A1→Prop) : Prop ≝
+   | ex5_2_intro: ∀x0,x1. P0 x0 x1 → P1 x0 x1 → P2 x0 x1 → P3 x0 x1 → P4 x0 x1 → ex5_2 ? ? ? ? ? ? ?
+.
+
+interpretation "multiple existental quantifier (5, 2)" 'Ex P0 P1 P2 P3 P4 = (ex5_2 ? ? P0 P1 P2 P3 P4).
+
 (* multiple existental quantifier (5, 3) *)
 
 inductive ex5_3 (A0,A1,A2:Type[0]) (P0,P1,P2,P3,P4:A0→A1→A2→Prop) : Prop ≝