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Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftLift.mk

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : b ⟶ a} →
        {g : c ⟶ a} →
          (h : c ⟶ b) → (g ⟶ CategoryTheory.CategoryStruct.comp h f) → CategoryTheory.Bicategory.LeftLift f g

Construct a left lift from a 1-morphism and a 2-morphism.

Defined in
Mathlib.CategoryTheory.Bicategory.Extension
Cited by
0 results in Mathlib
Foundations
Depth 25 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.LeftLift.whisker · cited by 15LeftLift.whiskerCategoryTheory.Bicategory.LeftLift.ofIdComp · cited by 6LeftLift.ofIdCompCategoryTheory.Bicategory.Adjunction.isAbsoluteLeftKanLift · cited by 1Adjunction.isAbsoluteLeft…CategoryTheory.Bicategory.LeftLift.IsKan.adjunction · cited by 1IsKan.adjunctionCategoryTheory.Bicategory.LeftExtension.isKanOfWhiskerLeftAdjoint · cited by 0LeftExtension.isKanOfWhis…CategoryTheory.Bicategory.LeftLift.alongId · cited by 0LeftLift.alongIdQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.StructuredArrow.mk · cited by 125StructuredArrow.mkCategoryTheory.Bicategory.LeftLift · cited by 29Bicategory.LeftLiftLeftLift.mkCITED BYCITES

Cites5

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Cited by6

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