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Merged
affeldt-aist merged 5 commits into from
Jan 7, 2024
Merged

format doc #1130

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3fe698e
format doc
affeldt-aist Jan 2, 2024
2d9a519
fix
affeldt-aist Jan 2, 2024
88c1d47
fix
affeldt-aist Jan 2, 2024
90e3cda
fix
affeldt-aist Jan 2, 2024
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comments by Pierre
affeldt-aist Jan 7, 2024
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2 changes: 2 additions & 0 deletions CHANGELOG_UNRELEASED.md
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Expand Up @@ -115,6 +115,8 @@

- in `sequences.v`:
+ change the implicit arguments of `trivIset_seqDU`
- moved from `topology.v` to `mathcomp_extra.v`
+ definition `monotonous`

### Renamed

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5 changes: 5 additions & 0 deletions classical/mathcomp_extra.v
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Expand Up @@ -30,6 +30,8 @@ From mathcomp Require Import finset interval.
(* dfwith f x == fun j => x if j = i, and f j otherwise *)
(* given x : T i *)
(* swap x := (x.2, x.1) *)
(* monotonous A f := {in A &, {mono f : x y / x <= y}} \/ *)
(* {in A &, {mono f : x y /~ x <= y}} *)
(* *)
(******************************************************************************)

Expand Down Expand Up @@ -1485,3 +1487,6 @@ exists n.+1; rewrite nm2/= -addn1.
rewrite -[X in (_ <= X)%N]prednK ?expn_gt0// -[X in (_ <= X)%N]addn1 leq_add2r.
by rewrite (leq_trans h2)// -subn1 leq_subRL ?expn_gt0// add1n ltn_exp2l.
Qed.

Definition monotonous d (T : porderType d) (pT : predType T) (A : pT) (f : T -> T) :=
{in A &, {mono f : x y / (x <= y)%O}} \/ {in A &, {mono f : x y /~ (x <= y)%O}}.
Comment on lines +1491 to +1492
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@proux01 proux01 Jan 6, 2024

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According to WP, this should rather be monotonic and I would expect it to be non strict (with homo instead of mono). Maybe we should also have a strict version. I would also expect it to use nondecreasing_fun and the like from realfun.v.
All in all, maybe this change should come in a separate PR so as to not delay the remaining of the current PR.

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@affeldt-aist affeldt-aist Jan 7, 2024

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Yes, I will issue about it to avoid mixing topics.

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