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 FConstructor for objects of the category Functor.LeftExtension L F.
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.StructuredArrow.mkproof · cited by 125
- CategoryTheory.Functor.LeftExtensionstatement · cited by 67
Cited by78
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.descOfIsLeftKanExtensionproof · cited by 25
- CategoryTheory.Functor.descOfIsLeftKanExtension_facproof · cited by 16
- CategoryTheory.Functor.isPointwiseLeftKanExtensionLeftKanExtensionUnitstatement · cited by 7
- CategoryTheory.Functor.isUniversalOfIsLeftKanExtensionstatement · cited by 7
- CategoryTheory.Functor.DenseAtproof · cited by 5
- CategoryTheory.Functor.LeftExtension.compTwoSquareproof · cited by 3
- CategoryTheory.Functor.LeftExtension.postcompose₂ObjMkIsostatement and proof · cited by 3
- CategoryTheory.MonoidalCategory.ExternalProduct.isPointwiseLeftKanExtensionExtensionUnitLeftstatement and proof · cited by 2
- CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsLeftKanExtensionstatement · cited by 2
- CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsoOfIsLocalizationstatement and proof · cited by 2
- CategoryTheory.TwoSquare.lanBaseChangeproof · cited by 2
- CategoryTheory.MonoidalCategory.DayConvolution.isPointwiseLeftKanExtensionUnitstatement · cited by 2