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feat(CategoryTheory): FinitaryPreExtensive and Preregular implies Precoherent #8399

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feat(CategoryTheory): FinitaryPreExtensive and Preregular implies Precoherent #8399

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@dagurtomas dagurtomas commented Nov 13, 2023 •
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We prove some results about effective epimorphisms which allow us to deduce that a category which is FinitaryPreExtensive and Preregular is also Precoherent. We then use this to refactor the characterisation of effective epimorphic families in CompHaus and friends, which was previously used to prove the fact that they were Precoherent (we know that they are Preregular and FinitaryExtensive, which now gives Precoherent for free).

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@dagurtomas dagurtomas added the WIP Work in progress label Nov 13, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 14, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 14, 2023
@dagurtomas dagurtomas added awaiting-review awaiting-CI t-category-theory Category theory t-topology Topological spaces, uniform spaces, metric spaces, filters and removed WIP Work in progress labels Nov 15, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 16, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added merge-conflict The PR has a merge conflict with master, and needs manual merging. and removed merge-conflict The PR has a merge conflict with master, and needs manual merging. labels Nov 16, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 20, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 23, 2023
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Split into two PRs: #8643 and #8644

@dagurtomas dagurtomas closed this Nov 27, 2023
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