[Merged by Bors] - feat(CategoryTheory/Limits): sections of functors and precomposition with initial functors#30403
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…with initial functors
PR summary cc0d5cbbe4Import changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diff
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 No changes to technical debt.You can run this locally as
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joelriou
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Oct 18, 2025
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Thanks!
maintainer merge
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🚀 Pull request has been placed on the maintainer queue by robin-carlier. |
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Thanks! bors merge |
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…with initial functors (#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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…with initial functors (#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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…with initial functors (#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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…with initial functors (#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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…with initial functors (#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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Oct 24, 2025
…with initial functors (leanprover-community#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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Nov 7, 2025
…with initial functors (leanprover-community#30403) Given `F : C ⥤ D` and `P : D ⥤ Type w`, we define a map `sectionsPrecomp F : P.sections → (F ⋙ P).sections` and show that it is a bijection when `F` is initial.
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…olimitType (leanprover-community#30779) We obtain a dual result to leanprover-community#30403 for the interaction between final functors and colimits of functors to types. This is phrased using the universe generic `Functor.ColimitType`. (We also improve the proof of leanprover-community#30403)
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Given
F : C ⥤ DandP : D ⥤ Type w, we define a mapsectionsPrecomp F : P.sections → (F ⋙ P).sectionsand show that it is a bijection whenFis initial.