Theorems · Definition · category theory
CategoryTheory.CatCenter
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max u v)The center of a category C is the type End (𝟭 C) of the endomorphisms
of the identify functor of C.
- Defined in
- Mathlib.CategoryTheory.Center.Basic
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Endproof · cited by 169
Cited by75
Results whose statement or proof uses this declaration.
- CategoryTheory.CatCenter.appstatement and proof · cited by 31
- CategoryTheory.TwistShiftData.zstatement · cited by 14
- CategoryTheory.CatCenter.naturalitystatement and proof · cited by 6
- CategoryTheory.CatCenter.localizationstatement and proof · cited by 6
- CategoryTheory.CommShift₂Setup.εstatement · cited by 5
- CategoryTheory.CatCenter.localization_appstatement and proof · cited by 5
- CategoryTheory.CatCenter.ext_of_localizationstatement and proof · cited by 4
- CategoryTheory.Linear.smulOfRingMorphismstatement and proof · cited by 2
- CategoryTheory.Linear.toCatCenterstatement · cited by 2
- CategoryTheory.TwistShiftData.assocstatement · cited by 2
- CategoryTheory.CatCenter.mul_app'statement and proof · cited by 2
- CategoryTheory.CatCenter.smul_iso_hom_eq'statement and proof · cited by 1