Theorems · Inductive type · category theory
HomotopicalAlgebra.CategoryWithCofibrations
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max u v)A category with cofibrations is a category equipped with a class of morphisms named "cofibrations".
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by87
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.IsCofibrantstatement and proof · cited by 56
- HomotopicalAlgebra.BifibrantObjectstatement and proof · cited by 38
- HomotopicalAlgebra.bifibrantObjectsstatement and proof · cited by 37
- HomotopicalAlgebra.cofibrationsstatement and proof · cited by 37
- HomotopicalAlgebra.CofibrantObjectstatement and proof · cited by 35
- HomotopicalAlgebra.cofibrantObjectsstatement and proof · cited by 34
- HomotopicalAlgebra.trivialCofibrationsstatement and proof · cited by 31
- HomotopicalAlgebra.Cofibrationstatement · cited by 27
- HomotopicalAlgebra.CofibrantObject.mkstatement and proof · cited by 16
- HomotopicalAlgebra.BifibrantObject.mkstatement and proof · cited by 15
- HomotopicalAlgebra.BifibrantObject.homMkstatement and proof · cited by 14
- HomotopicalAlgebra.CofibrantObject.homMkstatement and proof · cited by 13