[Merged by Bors] - feat(Order/Category): PartOrdEmb has filtered colimits

[joelriou]

---

• depends on: [Merged by Bors] - feat(Order/Category): partial orders with order embeddings as morphisms #30693

[github-actions]

PR summary c53d34d21e

Import changes exceeding 2%

%	File
+38.58%	Mathlib.Order.Category.PartOrdEmb

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Order.Category.PartOrdEmb	464	643	+179 (+38.58%)

Import changes for all files

Files	Import difference
Mathlib.Order.Category.PartOrdEmb	179

---

Declarations diff

+ CoconePt
+ CoconePt.desc
+ CoconePt.fac_apply
+ Hom.le_iff_le
+ cocone
+ instance : HasColimit F
+ instance : HasColimitsOfShape J PartOrdEmb.{u}
+ instance : HasFilteredColimitsOfSize.{u, u} PartOrdEmb.{u}
+ instance : PartialOrder (CoconePt hc)
+ instance : PreservesColimit F (forget _)
+ instance : PreservesColimitsOfShape J (forget PartOrdEmb.{u})
+ instance : PreservesFilteredColimitsOfSize.{u, u} (forget PartOrdEmb.{u})
+ isColimitCocone
+ jointly_surjective_of_isColimit₂

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 script/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• [Merged by Bors] - feat(Order/Category): partial orders with order embeddings as morphisms #30693
  By Dependent Issues (🤖). Happy coding!

[robin-carlier]

Only the most minor golf suggestion.

Thanks!
maintainer delegate

[github-actions]

🚀 Pull request has been placed on the maintainer queue by robin-carlier.

[riccardobrasca]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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