feat(CategoryTheory/Enriched/Ordinary/Limits): Add conical limits for enriched ordinary categories

[joneugster]

Add the definition CategoryTheory.Enriched.IsConicalLimit of conical limits in enriched ordinary catiegories.

Co-authored-by: Emily Riehl [email protected]
Co-authored-by: Dagur Asgeirsson [email protected]

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• depends on: [Merged by Bors] - chore(CategoryTheory/Enriched/Ordinary): create folder to allow API development #20903

• API follows in next PR: feat(CategoryTheory/Enriched/Ordinary/Limits/IsConicalLimit): add limit comparison #20905

[github-actions]

PR summary dcb10f71cc

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.CategoryTheory.Enriched.Ordinary	-599
Mathlib.CategoryTheory.Enriched.Ordinary.Basic	599
Mathlib.CategoryTheory.Enriched.Ordinary.Limits.IsConicalLimit (new file)	600

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Declarations diff

+ IsConicalLimit
+ eCoyoneda

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.

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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] - chore(CategoryTheory/Enriched/Ordinary): create folder to allow API development #20903
  By Dependent Issues (🤖). Happy coding!

[joelriou]

I think V should be an explicit parameter to IsConicalLimit. (This is what we have in the rest of the enriched category API, and I believe it should not change.)
Could you also add references to the mathematical literature? and also some minimal API (like constructors which under suitable assumptions may take as input only the isLimit field, or only the isConicalLimit fields?)

[joelriou]

To be more precise, for the API I am suggesting, I do not think we would have to assume HasLimitsOfShape J V as in #20905.