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Theorems · Definition · category theory

CategoryTheory.Bicategory.precomp

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] → {a b : B} → (c : B) → (a ⟶ b) → CategoryTheory.Functor (b ⟶ c) (a ⟶ c)

Precomposition of a 1-morphism as a functor.

Defined in
Mathlib.CategoryTheory.Bicategory.Basic
Cited by
40 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
Assumes
CategoryTheory.Bicategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Bicategory.LeftExtension · cited by 29Bicategory.LeftExtensionCategoryTheory.Bicategory.precomposingCat · cited by 24Bicategory.precomposingCatCategoryTheory.Bicategory.precomposing · cited by 11Bicategory.precomposingCategoryTheory.Bicategory.LeftExtension.IsKan.uniqueUpToIso · cited by 3IsKan.uniqueUpToIsoCategoryTheory.Bicategory.LeftExtension.whiskerOfCompIdIsoSelf · cited by 2LeftExtension.whiskerOfCo…CategoryTheory.Bicategory.LeftExtension.whiskering · cited by 2LeftExtension.whiskeringCategoryTheory.Bicategory.Lan.CommuteWith.lanCompIsoWhisker · cited by 2CommuteWith.lanCompIsoWhi…CategoryTheory.Bicategory.LeftExtension.IsKan.ofIsoKan · cited by 2IsKan.ofIsoKanCategoryTheory.Bicategory.RightExtension · cited by 2Bicategory.RightExtensionCategoryTheory.Bicategory.LeftExtension.homMk · cited by 2LeftExtension.homMkCategoryTheory.Bicategory.RightExtension.w · cited by 1RightExtension.wCategoryTheory.Bicategory.LeftExtension.IsAbsKan.ofIsoAbsKan · cited by 1IsAbsKan.ofIsoAbsKanCategoryTheory.Bicategory.LeftExtension.w · cited by 1LeftExtension.wCategoryTheory.Bicategory.precomp_map · cited by 1Bicategory.precomp_mapCategoryTheory.Bicategory.LeftExtension.whiskerHom · cited by 1LeftExtension.whiskerHomQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Bicategory.whiskerLeft · cited by 524Bicategory.whiskerLeftBicategory.precompCITED BYCITES

Cites5

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Cited by59

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