feat(CategoryTheory/ObjectProperty): closure of a property under certain colimits #30160
Conversation
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
This was referenced Oct 3, 2025
|
This pull request has conflicts, please merge |
mathlib4-merge-conflict-bot
added
the
merge-conflict
…refactor-object-property-closed-under-limits-of-shape
13 tasks
…under-limits-of-shape' into object-property-limits-closure
…into object-property-colimits-closure
github-actions
bot
removed
the
merge-conflict
mathlib-bors bot
pushed a commit
that referenced
this pull request
Oct 6, 2025
If `X` is small, so is `Xᵒᵖ`. It no longer seems to be dangerous to have such an instance. (Which shall be convenient for #30160.)
mitchell-horner
pushed a commit
to mitchell-horner/mathlib4
that referenced
this pull request
Oct 6, 2025
If `X` is small, so is `Xᵒᵖ`. It no longer seems to be dangerous to have such an instance. (Which shall be convenient for leanprover-community#30160.)
mathlib4-merge-conflict-bot
added
the
merge-conflict
|
This pull request has conflicts, please merge |
…refactor-object-property-closed-under-limits-of-shape
…under-limits-of-shape' into object-property-limits-closure
…into object-property-colimits-closure
github-actions
bot
removed
the
merge-conflict
…perty-closed-under-limits-of-shape
Jlh18
pushed a commit
to Jlh18/mathlib4
that referenced
this pull request
Oct 14, 2025
If `X` is small, so is `Xᵒᵖ`. It no longer seems to be dangerous to have such an instance. (Which shall be convenient for leanprover-community#30160.)
…perty-closed-under-limits-of-shape
…perty-closed-under-limits-of-shape
…under-limits-of-shape' into object-property-limits-closure
…into object-property-colimits-closure
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
3 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.
In this PR, we dualize a few notions about
ObjectPropertyand we use this to dualize the main result about limits in #29854 for colimits: given a propertyPof objects in a categoryCand family of categoriesJ : α → Type _, we introduce the closureP.colimitsClosure JofPunder colimits of shapesJ afor alla : α, and under certain smallness circumstances, we show that its essentially small.