Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Functor.LeftExtension.mk

{C : Type u_1} →
  {H : Type u_3} →
    {D : Type u_4} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_3, u_3} H] →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} D] →
            (F' : CategoryTheory.Functor D H) →
              {L : CategoryTheory.Functor C D} → {F : CategoryTheory.Functor C H} → (F ⟶ L.comp F') → L.LeftExtension F

Constructor for objects of the category Functor.LeftExtension L F.

Defined in
Mathlib.CategoryTheory.Functor.KanExtension.Basic
Cited by
31 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category

Around this declaration

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

CategoryTheory.Functor.descOfIsLeftKanExtension · cited by 25Functor.descOfIsLeftKanEx…CategoryTheory.Functor.descOfIsLeftKanExtension_fac · cited by 16Functor.descOfIsLeftKanEx…CategoryTheory.Functor.isPointwiseLeftKanExtensionLeftKanExtensionUnit · cited by 7Functor.isPointwiseLeftKa…CategoryTheory.Functor.isUniversalOfIsLeftKanExtension · cited by 7Functor.isUniversalOfIsLe…CategoryTheory.Functor.DenseAt · cited by 5Functor.DenseAtCategoryTheory.Functor.LeftExtension.compTwoSquare · cited by 3LeftExtension.compTwoSqua…CategoryTheory.Functor.LeftExtension.postcompose₂ObjMkIso · cited by 3LeftExtension.postcompose…CategoryTheory.MonoidalCategory.ExternalProduct.isPointwiseLeftKanExtensionExtensionUnitLeft · cited by 2ExternalProduct.isPointwi…CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsLeftKanExtension · cited by 2Functor.isPointwiseLeftKa…CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsoOfIsLocalization · cited by 2Functor.isPointwiseLeftKa…CategoryTheory.TwoSquare.lanBaseChange · cited by 2TwoSquare.lanBaseChangeCategoryTheory.MonoidalCategory.DayConvolution.isPointwiseLeftKanExtensionUnit · cited by 2DayConvolution.isPointwis…CategoryTheory.ObjectProperty.IsStrongGenerator.isDense_colimitsCardinalClosure_ι · cited by 2IsStrongGenerator.isDense…CategoryTheory.MonoidalCategory.DayConvolutionUnit.isPointwiseLeftKanExtensionCan · cited by 2DayConvolutionUnit.isPoin…CategoryTheory.Presheaf.isLeftKanExtension_along_uliftYoneda_iff · cited by 1Presheaf.isLeftKanExtensi…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.StructuredArrow.mk · cited by 125StructuredArrow.mkCategoryTheory.Functor.LeftExtension · cited by 67Functor.LeftExtensionLeftExtension.mkCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by78

Results whose statement or proof uses this declaration.