X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda%2Fxoa.ma;h=9d4ee880bfb12784259e0ac025e9fd5076210879;hb=178820be7648a60af17837727e51fd1f3f2791db;hp=5529e456071c3a75b9cfa9b18d9765cfac21f9a5;hpb=cdcfe9f97936f02dab1970ebf3911940bf0a4e29;p=helm.git diff --git a/matita/matita/contribs/lambda/xoa.ma b/matita/matita/contribs/lambda/xoa.ma index 5529e4560..9d4ee880b 100644 --- a/matita/matita/contribs/lambda/xoa.ma +++ b/matita/matita/contribs/lambda/xoa.ma @@ -16,6 +16,14 @@ include "basics/pts.ma". +(* multiple existental quantifier (2, 2) *) + +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, 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 ≝ @@ -32,6 +40,14 @@ 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 ≝