X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FGround_2%2Fxoa.ma;h=1ff53beb4ca3664a0b26b2eb186244dca46d9868;hb=fcd30dfead2fbc2889aa993fba0577dce8a90c88;hp=2b75c902d50524eefadcd5f8647f6e14d8afc7bf;hpb=f75be90562ddd964ef7ed43b956eb908f3133e3a;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma b/matita/matita/contribs/lambda_delta/Ground_2/xoa.ma index 2b75c902d..1ff53beb4 100644 --- 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 ≝