[Merged by Bors] - feat(measure_theory/integral/set_integral): First moment method #18731
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
YaelDillies
added
awaiting-review
2 tasks
JasonKYi
reviewed
Apr 4, 2023
mathlib-dependent-issues-bot
removed
the
blocked-by-other-PR
|
This PR/issue depends on:
|
JasonKYi
reviewed
Apr 22, 2023
| measure. -/ | ||
| lemma measure_le_set_integral_pos (hμ : μ s ≠ 0) (hμ₁ : μ s ≠ ∞) (hf : integrable_on f s μ) | ||
| (hs : null_measurable_set s μ) : | ||
| 0 < μ {x ∈ s | f x ≤ ∫ a in s, f a ∂μ / (μ s).to_real} := |
There was a problem hiding this comment.
Can you add the lintegral version as well?
There was a problem hiding this comment.
Combining this with @sgouezel's suggestion, should I define laverage for the Lebesgue average of an ennreal-valued function?
There was a problem hiding this comment.
I just want to say I don't have any opinion on defining laverage since I'm not sure of any cases where it is more convinent than writting the definition out explicitly.
There was a problem hiding this comment.
This turns out to be much more work than expected, so I am leaving a todo. You can have a look at the current state of things on branch first_moment_lintegral.
sgouezel
reviewed
Apr 22, 2023
sgouezel
added
awaiting-author
github-actions
bot
added
the
modifies-synchronized-file
YaelDillies
added
awaiting-review
|
Since there's not been anymore comments lets merge this! |
|
🚀 Pull request has been placed on the maintainer queue by JasonKYi. |
sgouezel
added
awaiting-author
YaelDillies
added
awaiting-review
sgouezel
reviewed
Jun 10, 2023
sgouezel
added
awaiting-author
YaelDillies
added
awaiting-review
|
bors r+ |
github-actions
bot
added
ready-to-merge
bors bot
pushed a commit
that referenced
this pull request
Jun 11, 2023
Integrable functions are smaller/larger than their mean on a set of positive measure. We prove it for the Bochner and Lebesgue integrals.
|
Pull request successfully merged into master. Build succeeded! The publicly hosted instance of bors-ng is deprecated and will go away soon. If you want to self-host your own instance, instructions are here. If you want to switch to GitHub's built-in merge queue, visit their help page. |
bors
bot
changed the title
urkud
added a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 15, 2023
Partially forward-port leanprover-community/mathlib#18731
bors bot
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 17, 2023
Also correct some `simp`s. Partially forward-port leanprover-community/mathlib#18731
urkud
added a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 21, 2023
Forward-port leanprover-community/mathlib#18731 Also sync some parentheses with the lates `mathport` output.
alexkeizer
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 22, 2023
Also correct some `simp`s. Partially forward-port leanprover-community/mathlib#18731
semorrison
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 23, 2023
Also correct some `simp`s. Partially forward-port leanprover-community/mathlib#18731
semorrison
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jun 25, 2023
Also correct some `simp`s. Partially forward-port leanprover-community/mathlib#18731
bors bot
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jul 14, 2023
Forward-port leanprover-community/mathlib#18731 Also sync some parentheses with the lates `mathport` output. Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
kbuzzard
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Jul 15, 2023
Forward-port leanprover-community/mathlib#18731 Also sync some parentheses with the lates `mathport` output. Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
semorrison
pushed a commit
to leanprover-community/mathlib4
that referenced
this pull request
Aug 14, 2023
Forward-port leanprover-community/mathlib#18731 Also sync some parentheses with the lates `mathport` output. Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Integrable functions are smaller/larger than their mean on a set of positive measure. We prove it for the Bochner and Lebesgue integrals.