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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 (* This file was generated by xoa.native: do not edit *********************)
17 include "basics/pts.ma".
19 inductive ex2_1 (A0:Type[0]) (P0,P1:A0→Prop) : Prop ≝
20 | ex2_1_intro: ∀x0. (P0 x0)→(P1 x0)→(ex2_1 ? ? ?)
23 interpretation "multiple existental quantifier (2, 1)" 'Ex P0 P1 = (ex2_1 ? P0 P1).
25 inductive ex3_2 (A0,A1:Type[0]) (P0,P1,P2:A0→A1→Prop) : Prop ≝
26 | ex3_2_intro: ∀x0,x1. (P0 x0 x1)→(P1 x0 x1)→(P2 x0 x1)→(ex3_2 ? ? ? ? ?)
29 interpretation "multiple existental quantifier (3, 2)" 'Ex P0 P1 P2 = (ex3_2 ? ? P0 P1 P2).