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Missing lemmas #1

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pi8027 opened this issue Mar 26, 2021 · 0 comments · Fixed by #2
Closed

Missing lemmas #1

pi8027 opened this issue Mar 26, 2021 · 0 comments · Fixed by #2

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@pi8027
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pi8027 commented Mar 26, 2021

(* TODO: *)
(* Lemma mem2_sort s x y : leT x y -> mem2 s x y -> mem2 (sort _ leT s) x y. *)
(* TODO: *)
(* Lemma mem2_sort_in s : *)
(* {in s &, total leT} -> {in s & &, transitive leT} -> *)
(* forall x y, leT x y -> mem2 s x y -> mem2 (sort _ leT s) x y. *)

  • sort leT (s1 ++ s2) = merge leT (sort leT s1) (sort leT s2)
  • sort _ (sort _ _) = sort _ _
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