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proux01 merged 2 commits into from
Dec 5, 2023
Merged

cvg lemmas for fun #1101

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cvg lemmas for fun
affeldt-aist Nov 16, 2023
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doc
affeldt-aist Nov 16, 2023
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14 changes: 14 additions & 0 deletions CHANGELOG_UNRELEASED.md
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Expand Up @@ -16,6 +16,20 @@
+ new lemmas `perfect_set2`, and `ent_closure`.
+ lemma `clopen_surj`

- in `normedtype.v`:
+ hints for `at_right_proper_filter` and `at_left_proper_filter`

- in `realfun.v`:
+ notations `nondecreasing_fun`, `nonincreasing_fun`,
`increasing_fun`, `decreasing_fun`
+ lemmas `cvg_addrl`, `cvg_addrr`, `cvg_centerr`, `cvg_shiftr`,
`nondecreasing_cvgr`,
`nonincreasing_at_right_cvgr`,
`nondecreasing_at_right_cvgr`,
`nondecreasing_cvge`, `nondecreasing_is_cvge`,
`nondecreasing_at_right_cvge`, `nondecreasing_at_right_is_cvge`,
`nonincreasing_at_right_cvge`, `nonincreasing_at_right_is_cvge`

### Changed

### Renamed
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6 changes: 6 additions & 0 deletions theories/normedtype.v
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Expand Up @@ -2056,6 +2056,12 @@ End at_left_right.
Notation "x ^'-" := (at_left x) : classical_set_scope.
Notation "x ^'+" := (at_right x) : classical_set_scope.

#[global] Hint Extern 0 (Filter (nbhs _^'+)) =>
(apply: at_right_proper_filter) : typeclass_instances.

#[global] Hint Extern 0 (Filter (nbhs _^'-)) =>
(apply: at_left_proper_filter) : typeclass_instances.

Section open_itv_subset.
Context {R : realType}.
Variables (A : set R) (x : R).
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