[Merged by Bors] - feat(Algebra/ModuleCat/Presheaf): composition of pushforwards and pullbacks and compatibilites#30318
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…to the-free-presheaf-of-modules-on-a-presheaf-of-sets
…to the-free-presheaf-of-modules-on-a-presheaf-of-sets
…es-on-a-presheaf-of-sets
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We obtain various lemmas about adjunctions between functors by computing `conjugateEquiv` in case of associators, unitors, and whiskerings. We deduce a way to obtain compatibilites with respect to composition of functors of left adjoints assuming that we have these compatibilites for right adjoints. In #30318, this shall be applied to the study of the compatibilities with respect to composition of the pullback functors for presheaves of modules.
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…r-community#30335) We obtain various lemmas about adjunctions between functors by computing `conjugateEquiv` in case of associators, unitors, and whiskerings. We deduce a way to obtain compatibilites with respect to composition of functors of left adjoints assuming that we have these compatibilites for right adjoints. In leanprover-community#30318, this shall be applied to the study of the compatibilities with respect to composition of the pullback functors for presheaves of modules.
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Thanks!
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🚀 Pull request has been placed on the maintainer queue by dagurtomas. |
Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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Thanks! bors merge |
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…lbacks and compatibilites (#30318) The composition of two pullback functors on presheaves of modules `pullback φ ⋙ pullback ψ` identifies to the pullback of the composition. We show compatibilites for these isomorphisms: they are deduced from similar identifies for pushforwards (in which case they are `rfl`).
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The composition of two pullback functors on presheaves of modules
pullback φ ⋙ pullback ψidentifies to the pullback of the composition. We show compatibilites for these isomorphisms: they are deduced from similar identifies for pushforwards (in which case they arerfl).This PR continues the work from #17589.
Original PR: #17589