Theorems · Definition · category theory
CategoryTheory.CatEnrichedOrdinary.Hom.base
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.EnrichedOrdinaryCategory CategoryTheory.Cat C] →
{X Y : CategoryTheory.CatEnrichedOrdinary C} →
{f g : X ⟶ Y} →
(f ⟶ g) → (CategoryTheory.CatEnrichedOrdinary.homEquiv f ⟶ CategoryTheory.CatEnrichedOrdinary.homEquiv g)A 2-cell in CatEnrichedOrdinary C has a corresponding "base" 2-cell in CatEnriched C.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- Equivstatement · cited by 8,337
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.CatEnrichedstatement · cited by 25
- CategoryTheory.CatEnrichedOrdinarystatement and proof · cited by 24
- CategoryTheory.CatEnrichedOrdinary.homEquivstatement · cited by 18
- CategoryTheory.CatEnrichedOrdinary.toBasestatement · cited by 16
- CategoryTheory.CatEnrichedOrdinary.Hom.base'proof · cited by 0
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.hCompproof · cited by 9
- CategoryTheory.CatEnrichedOrdinary.Hom.extstatement and proof · cited by 4
- CategoryTheory.CatEnrichedOrdinary.Hom.base_eqToHomstatement and proof · cited by 3
- CategoryTheory.CatEnrichedOrdinary.hComp_assocproof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.hComp_idproof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.id_hCompproof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.base_mkstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.hComp_compproof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.base_compstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.base_idstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.comp_eqstatement · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.ext_iffstatement and proof · cited by 0