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Theorems · Inductive type · category theory

CategoryTheory.Bicategory.HasAbsLeftKanLift

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

We say that there exists an absolute left Kan lift of g along f if any 1-morphism h commutes with the left Kan lift f₊ g.

Defined in
Mathlib.CategoryTheory.Bicategory.Kan.HasKan
Cited by
3 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
CategoryTheory.Bicategory
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Around this declaration

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CategoryTheory.Bicategory.LeftLift.IsAbsKan.hasAbsLeftKanLift · cited by 1IsAbsKan.hasAbsLeftKanLiftCategoryTheory.Bicategory.isRightAdjoint_TFAE · cited by 0Bicategory.isRightAdjoint…CategoryTheory.Bicategory.HasAbsLeftKanLift.casesOn · cited by 0HasAbsLeftKanLift.casesOnCategoryTheory.Bicategory.HasAbsLeftKanLift.commute · cited by 0HasAbsLeftKanLift.commuteCategoryTheory.Bicategory.HasAbsLeftKanLift.recOn · cited by 0HasAbsLeftKanLift.recOnQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryBicategory.HasAbsLeftKanLiftCITED BYCITES

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Cited by5

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