Theorems · Theorem · category theory
HomotopicalAlgebra.Cofibration.mem
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {X Y : C} {f : X ⟶ Y}
{inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C} [self : HomotopicalAlgebra.Cofibration f],
HomotopicalAlgebra.cofibrations C f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Quiver.Homstatement and proof · cited by 32,603
- HomotopicalAlgebra.CategoryWithCofibrationsstatement and proof · cited by 46
- HomotopicalAlgebra.cofibrationsstatement · cited by 37
- HomotopicalAlgebra.Cofibrationstatement and proof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.mem_cofibrationsproof · cited by 2