Theorems · Definition · category theory
CategoryTheory.CatEnrichedOrdinary
Type u_1 → Type u_1
A type synonym for C, which should come equipped with a Cat-enriched category structure.
This converts it to a strict bicategory where Category (X ⟶ Y) is (X ⟶[Cat] Y).
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by37
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.homEquivstatement and proof · cited by 18
- CategoryTheory.CatEnrichedOrdinary.toBasestatement and proof · cited by 16
- CategoryTheory.CatEnrichedOrdinary.Hom.basestatement and proof · cited by 12
- CategoryTheory.CatEnrichedOrdinary.hCompstatement and proof · cited by 9
- CategoryTheory.CatEnrichedOrdinary.Hom.mkstatement and proof · cited by 7
- CategoryTheory.CatEnrichedOrdinary.homEquiv_compstatement and proof · cited by 5
- CategoryTheory.CatEnrichedOrdinary.Hom.extstatement and proof · cited by 4
- CategoryTheory.CatEnrichedOrdinary.Hom.base_eqToHomstatement and proof · cited by 3
- CategoryTheory.CatEnrichedOrdinary.Homstatement · cited by 3
- CategoryTheory.CatEnrichedOrdinary.homEquiv_idstatement and proof · cited by 2
- CategoryTheory.CatEnrichedOrdinary.Hom.casesOnstatement and proof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.hComp_assocstatement and proof · cited by 1