Theorems · Definition · category theory
CategoryTheory.CatEnriched
Type u_2 → Type u_2
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
- 25 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 by34
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.homEquivstatement · cited by 18
- CategoryTheory.CatEnrichedOrdinary.toBasestatement · cited by 16
- CategoryTheory.CatEnriched.hCompstatement and proof · cited by 13
- CategoryTheory.CatEnrichedOrdinary.Hom.basestatement · cited by 12
- CategoryTheory.CatEnrichedOrdinary.Hom.mkstatement · cited by 7
- CategoryTheory.CatEnrichedOrdinary.homEquiv_compstatement · cited by 5
- CategoryTheory.CatEnrichedOrdinary.Hom.extstatement · cited by 4
- CategoryTheory.CatEnrichedOrdinary.Hom.base_eqToHomstatement · cited by 3
- CategoryTheory.CatEnriched.id_eqstatement and proof · cited by 2
- CategoryTheory.CatEnriched.id_hComp_idstatement and proof · cited by 2
- CategoryTheory.CatEnrichedOrdinary.homEquiv_idstatement · cited by 2
- CategoryTheory.CatEnriched.eqToHom_hComp_eqToHomstatement and proof · cited by 1