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15 (* This file was generated by xoa.native: do not edit *********************)
16
17 include "basics/pts.ma".
18
19 include "ground_2/notation/xoa/ex_7_8.ma".
20
21 (* multiple existental quantifier (7, 8) *)
22
23 inductive ex7_8 (A0,A1,A2,A3,A4,A5,A6,A7:Type[0]) (P0,P1,P2,P3,P4,P5,P6:A0→A1→A2→A3→A4→A5→A6→A7→Prop) : Prop ≝
24    | ex7_8_intro: ∀x0,x1,x2,x3,x4,x5,x6,x7. P0 x0 x1 x2 x3 x4 x5 x6 x7 → P1 x0 x1 x2 x3 x4 x5 x6 x7 → P2 x0 x1 x2 x3 x4 x5 x6 x7 → P3 x0 x1 x2 x3 x4 x5 x6 x7 → P4 x0 x1 x2 x3 x4 x5 x6 x7 → P5 x0 x1 x2 x3 x4 x5 x6 x7 → P6 x0 x1 x2 x3 x4 x5 x6 x7 → ex7_8 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
25 .
26
27 interpretation "multiple existental quantifier (7, 8)" 'Ex8 P0 P1 P2 P3 P4 P5 P6 = (ex7_8 ? ? ? ? ? ? ? ? P0 P1 P2 P3 P4 P5 P6).
28