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[Merged by Bors] - feat(AlgebraicTopology): application of the retract argument to model categories#26166

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[Merged by Bors] - feat(AlgebraicTopology): application of the retract argument to model categories#26166
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@joelriou joelriou commented Jun 19, 2025

Basic consequences of the retract argument are obtained for model categories: cofibrations are exactly the morphisms that have the left lifting property with respect to trivial fibrations, etc. We deduce various properties of cofibrations, fibrations and weak equivalences in model categories (e.g. they are stable by composition).


(I am sorry if this one is a little bit long. There are too many basic properties to state.)

This PR continues the work from #20210.

Original PR: #20210

joelriou and others added 30 commits November 17, 2024 16:04
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@robin-carlier robin-carlier self-assigned this Jun 23, 2025
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Very nice!

I did not individually record them, but basically all my remaining comments are about the tactic mode rw; exact that can be avoided by directly using the mem field or ..._iff _|>.mpr ... pattern.

@robin-carlier robin-carlier added the awaiting-author A reviewer has asked the author a question or requested changes. label Jun 24, 2025
joelriou and others added 2 commits June 24, 2025 15:18
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joelriou commented Jun 24, 2025

Thanks for the reviews!

I did not individually record them, but basically all my remaining comments are about the tactic mode rw; exact that can be avoided by directly using the mem field or ..._iff _|>.mpr ... pattern.

As tactic mode is unexpensive here, I have kept it in a few situations.

@joelriou joelriou removed the awaiting-author A reviewer has asked the author a question or requested changes. label Jun 24, 2025
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Thanks then! CI is having troubles right now but build and lint pass so I guess it’s safe to

maintainer merge

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

@ghost ghost added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Jun 24, 2025
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Thanks 🎉

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. labels Jul 2, 2025
mathlib-bors bot pushed a commit that referenced this pull request Jul 2, 2025
… categories (#26166)

Basic consequences of the retract argument are obtained for model categories: cofibrations are exactly the morphisms that have the left lifting property with respect to trivial fibrations, etc. We deduce various properties of cofibrations, fibrations and weak equivalences in model categories (e.g. they are stable by composition).



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Jul 2, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(AlgebraicTopology): application of the retract argument to model categories [Merged by Bors] - feat(AlgebraicTopology): application of the retract argument to model categories Jul 2, 2025
@mathlib-bors mathlib-bors bot closed this Jul 2, 2025
joelriou added a commit to joelriou/mathlib4 that referenced this pull request Jul 7, 2025
… categories (leanprover-community#26166)

Basic consequences of the retract argument are obtained for model categories: cofibrations are exactly the morphisms that have the left lifting property with respect to trivial fibrations, etc. We deduce various properties of cofibrations, fibrations and weak equivalences in model categories (e.g. they are stable by composition).



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
callesonne pushed a commit to callesonne/mathlib4 that referenced this pull request Jul 24, 2025
… categories (leanprover-community#26166)

Basic consequences of the retract argument are obtained for model categories: cofibrations are exactly the morphisms that have the left lifting property with respect to trivial fibrations, etc. We deduce various properties of cofibrations, fibrations and weak equivalences in model categories (e.g. they are stable by composition).



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
hrmacbeth pushed a commit to szqzs/mathlib4 that referenced this pull request Jul 28, 2025
… categories (leanprover-community#26166)

Basic consequences of the retract argument are obtained for model categories: cofibrations are exactly the morphisms that have the left lifting property with respect to trivial fibrations, etc. We deduce various properties of cofibrations, fibrations and weak equivalences in model categories (e.g. they are stable by composition).



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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