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Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.mk

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

Construct a left extension 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.LeftExtension.whisker · cited by 15LeftExtension.whiskerCategoryTheory.Bicategory.LeftExtension.ofCompId · cited by 6LeftExtension.ofCompIdCategoryTheory.Bicategory.Adjunction.isAbsoluteLeftKan · cited by 1Adjunction.isAbsoluteLeft…CategoryTheory.Bicategory.LeftExtension.IsKan.adjunction · cited by 1IsKan.adjunctionCategoryTheory.Bicategory.LeftExtension.isKanOfWhiskerLeftAdjoint · cited by 0LeftExtension.isKanOfWhis…CategoryTheory.Bicategory.LeftExtension.alongId · cited by 0LeftExtension.alongIdQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.StructuredArrow.mk · cited by 125StructuredArrow.mkCategoryTheory.Bicategory.LeftExtension · cited by 29Bicategory.LeftExtensionLeftExtension.mkCITED BYCITES

Cites5

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Cited by6

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