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Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.IsAbsKan.isKan

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} → {f : a ⟶ b} → {g : a ⟶ c} → {t : CategoryTheory.Bicategory.LeftExtension f g} → t.IsAbsKan → t.IsKan

An absolute left Kan extension is a left Kan extension.

Defined in
Mathlib.CategoryTheory.Bicategory.Kan.IsKan
Cited by
1 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Bicategory
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Around this declaration

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

CategoryTheory.Bicategory.LeftExtension.IsAbsKan.hasAbsLeftKanExtension · cited by 1IsAbsKan.hasAbsLeftKanExt…CategoryTheory.Bicategory.LeftExtension.IsAbsKan.adjunction · cited by 0IsAbsKan.adjunctionQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Bicategory.LeftExtension · cited by 29Bicategory.LeftExtensionCategoryTheory.Bicategory.LeftExtension.whisker · cited by 15LeftExtension.whiskerCategoryTheory.Bicategory.LeftExtension.IsKan · cited by 9LeftExtension.IsKanCategoryTheory.Bicategory.LeftExtension.whiskerOfCompIdIsoSelf · cited by 2LeftExtension.whiskerOfCo…CategoryTheory.Bicategory.LeftExtension.IsKan.ofIsoKan · cited by 2IsKan.ofIsoKanCategoryTheory.Bicategory.LeftExtension.IsAbsKan · cited by 1LeftExtension.IsAbsKanCategoryTheory.Bicategory.LeftExtension.IsKan.ofCompId · cited by 0IsKan.ofCompIdIsAbsKan.isKanCITED BYCITES

Cites10

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Cited by2

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