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Theorems · Theorem · category theory

HomotopicalAlgebra.cofibrations_eq_unop

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C],
  HomotopicalAlgebra.cofibrations C = (HomotopicalAlgebra.fibrations Cᵒᵖ).unop
Defined in
Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
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Foundations
Depth 12 from the axioms · uses propext
Assumes
CategoryTheory.CategoryHomotopicalAlgebra.CategoryWithCofibrations
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryOpposite · cited by 8081OppositeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…HomotopicalAlgebra.CategoryWithCofibrations · cited by 46HomotopicalAlgebra.Catego…HomotopicalAlgebra.fibrations · cited by 40HomotopicalAlgebra.fibrat…HomotopicalAlgebra.cofibrations · cited by 37HomotopicalAlgebra.cofibr…CategoryTheory.MorphismProperty.unop · cited by 22MorphismProperty.unopHomotopicalAlgebra.cofibratio…CITED BYCITES

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