[Merged by Bors] - feat(number_theory/liouville): the set of Liouville numbers has measure zero #9702
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
…ssumption * In all versions of Borel-Cantelli lemma, do not require that the sets are measurable. * Add +1 version. * Golf proofs.
…b into liouville-with
urkud
added
awaiting-author
github-actions
bot
added
the
merge-conflict
…b into urkud/liouville-with
github-actions
bot
removed
the
merge-conflict
github-actions
bot
added
the
merge-conflict
github-actions
bot
removed
the
merge-conflict
urkud
added
awaiting-CI
github-actions
bot
added
the
blocked-by-other-PR
github-actions
bot
removed
awaiting-CI
|
🎉 Great news! Looks like all the dependencies have been resolved: 💡 To add or remove a dependency please update this issue/PR description. Brought to you by Dependent Issues (:robot: ). Happy coding! |
jcommelin
reviewed
Oct 25, 2021
| end | ||
|
|
||
| /-- If a number is Liouville with exponent `p`, then it is Liouville with any smaller exponent. -/ | ||
| lemma mono (h : liouville_with p x) (hle : q ≤ p) : liouville_with q x := |
There was a problem hiding this comment.
Shouldn't this be antimono?
Suggested change
| lemma mono (h : liouville_with p x) (hle : q ≤ p) : liouville_with q x := | |
| lemma antimono (h : liouville_with p x) (hle : q ≤ p) : liouville_with q x := |
There was a problem hiding this comment.
We use mono for, e.g., set.countable.mono.
There was a problem hiding this comment.
But that predates the introduction of antimono. Anyway, I don't have a strong opinion on this.
Co-authored-by: Johan Commelin <johan@commelin.net>
jcommelin
approved these changes
Oct 25, 2021
|
✌️ urkud can now approve this pull request. To approve and merge a pull request, simply reply with |
jcommelin
added
awaiting-CI
github-actions
bot
added
delegated
urkud
removed
the
awaiting-CI
|
bors merge |
github-actions
bot
added
the
ready-to-merge
bors bot
pushed a commit
that referenced
this pull request
Oct 25, 2021
…re zero (#9702) As a corollary, the filters `residual ℝ` and `volume.ae` are disjoint.
|
Pull request successfully merged into master. Build succeeded: |
bors
bot
changed the title
eric-wieser
added
the
hacktoberfest-accepted
ericrbg
pushed a commit
that referenced
this pull request
Nov 9, 2021
…re zero (#9702) As a corollary, the filters `residual ℝ` and `volume.ae` are disjoint.
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.
As a corollary, the filters
residual ℝandvolume.aeare disjoint.