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[Merged by Bors] - chore(measure_theory/function/ess_sup): Generalise #18669

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[Merged by Bors] - chore(measure_theory/function/ess_sup): Generalise #18669

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@YaelDillies YaelDillies commented Mar 26, 2023 •
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A handful of lemmas hold for bounded filters in conditionally complete lattices, rather than just filter in complete lattices (which are automatically bounded).

Also prove that μ {y | x < f y} = 0 when x is greater than the essential supremum of f, and dually.

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@YaelDillies YaelDillies requested a review from a team as a code owner March 26, 2023 14:13
@YaelDillies YaelDillies added awaiting-review The author would like community review of the PR t-measure-probability Measure theory / Probability theory labels Mar 26, 2023
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
@YaelDillies YaelDillies mentioned this pull request Apr 4, 2023
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sgouezel
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@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Apr 6, 2023
@YaelDillies YaelDillies added awaiting-review The author would like community review of the PR modifies-synchronized-file This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR. and removed awaiting-author A reviewer has asked the author a question or requested changes labels Apr 6, 2023
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What's the relationship between this PR and ennreal.eventually_le_limsup and its uses throughout the library?

src/topology/algebra/order/liminf_limsup.lean Outdated Show resolved Hide resolved
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Well spotted! My lemma is a direct generalisation of the ennreal one.

@YaelDillies YaelDillies added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Apr 20, 2023
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bors r+
Thanks!

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Apr 21, 2023
@github-actions github-actions bot removed the awaiting-review The author would like community review of the PR label Apr 21, 2023
bors bot pushed a commit that referenced this pull request Apr 21, 2023
@YaelDillies @sgouezel
chore(measure_theory/function/ess_sup): Generalise (#18669)
52932b3 
A handful of lemmas hold for bounded filters in conditionally complete lattices, rather than just filter in complete lattices (which are automatically bounded).

Also prove that `μ {y | x < f y} = 0` when `x` is greater than the essential supremum of `f`, and dually.



Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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bors bot commented Apr 21, 2023

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title chore(measure_theory/function/ess_sup): Generalise [Merged by Bors] - chore(measure_theory/function/ess_sup): Generalise Apr 21, 2023
@bors bors bot closed this Apr 21, 2023
@bors bors bot deleted the ae_le_of_snorm_ess_sup_le branch April 21, 2023 21:21
YaelDillies added a commit to leanprover-community/mathlib4 that referenced this pull request Apr 22, 2023
@YaelDillies
chore: Generalise ess_sup lemmas
87f1ada 
Match leanprover-community/mathlib#18669

* [`order.filter.ennreal`@`57ac39bd365c2f80589a700f9fbb664d3a1a30c2`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/order/filter/ennreal?range=57ac39bd365c2f80589a700f9fbb664d3a1a30c2..52932b3a083d4142e78a15dc928084a22fea9ba0)
* [`topology.algebra.order.liminf_limsup`@`98e83c3d541c77cdb7da20d79611a780ff8e7d90`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/topology/algebra/order/liminf_limsup?range=98e83c3d541c77cdb7da20d79611a780ff8e7d90..52932b3a083d4142e78a15dc928084a22fea9ba0)
@YaelDillies YaelDillies mentioned this pull request Apr 22, 2023
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bors bot pushed a commit to leanprover-community/mathlib4 that referenced this pull request Apr 25, 2023
@YaelDillies
chore: Generalise ess_sup lemmas (#3590)
8f4f347 
Match leanprover-community/mathlib#18669

* [`order.filter.ennreal`@`57ac39bd365c2f80589a700f9fbb664d3a1a30c2`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/order/filter/ennreal?range=57ac39bd365c2f80589a700f9fbb664d3a1a30c2..52932b3a083d4142e78a15dc928084a22fea9ba0)
* [`topology.algebra.order.liminf_limsup`@`98e83c3d541c77cdb7da20d79611a780ff8e7d90`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/topology/algebra/order/liminf_limsup?range=98e83c3d541c77cdb7da20d79611a780ff8e7d90..52932b3a083d4142e78a15dc928084a22fea9ba0)
semorrison pushed a commit to leanprover-community/mathlib4 that referenced this pull request May 10, 2023
@YaelDillies
chore: Generalise ess_sup lemmas (#3590)
087f9d6 
Match leanprover-community/mathlib#18669

* [`order.filter.ennreal`@`57ac39bd365c2f80589a700f9fbb664d3a1a30c2`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/order/filter/ennreal?range=57ac39bd365c2f80589a700f9fbb664d3a1a30c2..52932b3a083d4142e78a15dc928084a22fea9ba0)
* [`topology.algebra.order.liminf_limsup`@`98e83c3d541c77cdb7da20d79611a780ff8e7d90`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/topology/algebra/order/liminf_limsup?range=98e83c3d541c77cdb7da20d79611a780ff8e7d90..52932b3a083d4142e78a15dc928084a22fea9ba0)
hrmacbeth pushed a commit to leanprover-community/mathlib4 that referenced this pull request May 10, 2023
@YaelDillies @hrmacbeth
chore: Generalise ess_sup lemmas (#3590)
0b5908b 
Match leanprover-community/mathlib#18669

* [`order.filter.ennreal`@`57ac39bd365c2f80589a700f9fbb664d3a1a30c2`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/order/filter/ennreal?range=57ac39bd365c2f80589a700f9fbb664d3a1a30c2..52932b3a083d4142e78a15dc928084a22fea9ba0)
* [`topology.algebra.order.liminf_limsup`@`98e83c3d541c77cdb7da20d79611a780ff8e7d90`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/topology/algebra/order/liminf_limsup?range=98e83c3d541c77cdb7da20d79611a780ff8e7d90..52932b3a083d4142e78a15dc928084a22fea9ba0)
hrmacbeth pushed a commit to leanprover-community/mathlib4 that referenced this pull request May 11, 2023
@YaelDillies @hrmacbeth
chore: Generalise ess_sup lemmas (#3590)
1b2e851 
Match leanprover-community/mathlib#18669

* [`order.filter.ennreal`@`57ac39bd365c2f80589a700f9fbb664d3a1a30c2`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/order/filter/ennreal?range=57ac39bd365c2f80589a700f9fbb664d3a1a30c2..52932b3a083d4142e78a15dc928084a22fea9ba0)
* [`topology.algebra.order.liminf_limsup`@`98e83c3d541c77cdb7da20d79611a780ff8e7d90`..`52932b3a083d4142e78a15dc928084a22fea9ba0`](https://leanprover-community.github.io/mathlib-port-status/file/topology/algebra/order/liminf_limsup?range=98e83c3d541c77cdb7da20d79611a780ff8e7d90..52932b3a083d4142e78a15dc928084a22fea9ba0)
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