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Theorems · Theorem · category theory

HomotopicalAlgebra.mem_cofibrations

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C] [HomotopicalAlgebra.Cofibration f],
  HomotopicalAlgebra.cofibrations C f
Defined in
Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryHomotopicalAlgebra.CategoryWithCofibrationsHomotopicalAlgebra.Cofibration
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomotopicalAlgebra.mem_trivialCofibrations · cited by 0HomotopicalAlgebra.mem_tr…HomotopicalAlgebra.ModelCategory.hasLiftingProperty_of_joyalTrick · cited by 0ModelCategory.hasLiftingP…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomHomotopicalAlgebra.CategoryWithCofibrations · cited by 46HomotopicalAlgebra.Catego…HomotopicalAlgebra.cofibrations · cited by 37HomotopicalAlgebra.cofibr…HomotopicalAlgebra.Cofibration · cited by 27HomotopicalAlgebra.Cofibr…HomotopicalAlgebra.Cofibration.mem · cited by 1Cofibration.memHomotopicalAlgebra.mem_cofibr…CITED BYCITES

Cites6

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Cited by2

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