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(*   Copyright Dominique Larchey-Wendling [*]                 *)
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(*                             [*] Affiliation LORIA -- CNRS  *)
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(*      This file is distributed under the terms of the       *)
(*         CeCILL v2 FREE SOFTWARE LICENSE AGREEMENT          *)
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(** ** Object-level encoding of bounded universal quantification II *)
Set Implicit Arguments.
Local Infix "≲" := binary_le (at level 70, no associativity).
Local Notation power := (mscal mult 1).
Local Notation "∑" := (msum plus 0).
Local Infix "⇣" := nat_meet (at level 40, left associativity).
Local Infix "⇡" := nat_join (at level 50, left associativity).

Theorem seqs_of_ones_diophantine l q u u1 : 𝔻P l -> 𝔻P q -> 𝔻P u -> 𝔻P u1
-> 𝔻R (fun v => seqs_of_ones (l v) (q v) (u v) (u1 v)).