Theorems · Inductive type · category theory
CategoryTheory.CategoryStruct
Type u → Type (max u (v + 1))
A preliminary structure on the way to defining a category, containing the data, but none of the axioms.
- Defined in
- Mathlib.CategoryTheory.Category.Basic
- Cited by
- 343 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · 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 by404
Results whose statement or proof uses this declaration.
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.eqToHomstatement and proof · cited by 860
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Endstatement and proof · cited by 169
- Quiver.Hom.toLocstatement and proof · cited by 150
- CategoryTheory.Pseudofunctor.StrongTrans.categoryStructstatement · cited by 112
- CategoryTheory.Prod.mkHomstatement and proof · cited by 108
- CategoryTheory.op_compstatement and proof · cited by 72
- CategoryTheory.MorphismProperty.opstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.extstatement and proof · cited by 61
Showing the 200 most cited of 404.