[Merged by Bors] - feat(Order/Chain): condition for the union of chains to be a chain#20758
Closed
[Merged by Bors] - feat(Order/Chain): condition for the union of chains to be a chain#20758
Conversation
PR summary 1f92975ffeImport changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diff
You can run this locally as follows## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for No changes to technical debt.You can run this locally as
|
8 tasks
eric-wieser
reviewed
Jan 15, 2025
| ha₂ ▸ hb₂ ▸ fun hxy => (hrc ha₁ hb₁ <| ne_of_apply_ne f hxy).imp (h _ _) (h _ _) | ||
|
|
||
| lemma isChain_union {s t : Set α} : | ||
| IsChain r (s ∪ t) ↔ IsChain r s ∧ IsChain r t ∧ ∀ a ∈ s, ∀ b ∈ t, a ≠ b → r a b ∨ r b a := by |
Member
There was a problem hiding this comment.
Is the reverse implication worth aliasing for dot notation?
Contributor
Author
There was a problem hiding this comment.
I had considered this, but I don't think it's worth it because the third condition is sufficiently unwieldy
Contributor
|
✌️ b-mehta can now approve this pull request. To approve and merge a pull request, simply reply with |
Contributor
Author
|
bors merge |
Contributor
|
Pull request successfully merged into master. Build succeeded: |
This file contains hidden or 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
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
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Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be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.
Also show that monotone functions preserve chains, and use this lemma to golf another.
Useful from the disproof of the Aharoni–Korman conjecture, #20082.