Theorems · Theorem · category theory

HomotopicalAlgebra.trivialCofibrations_sub_cofibrations

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C]
  [inst_2 : HomotopicalAlgebra.CategoryWithWeakEquivalences C],
  HomotopicalAlgebra.trivialCofibrations C ≤ HomotopicalAlgebra.cofibrations C

Defined in: Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
Cited by: 0 results in Mathlib
Foundations: Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category HomotopicalAlgebra.CategoryWithCofibrations HomotopicalAlgebra.CategoryWithWeakEquivalences

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.MorphismPropertystatement · cited by 2,179
HomotopicalAlgebra.CategoryWithWeakEquivalencesstatement and proof · cited by 77
HomotopicalAlgebra.CategoryWithCofibrationsstatement and proof · cited by 46
HomotopicalAlgebra.cofibrationsstatement · cited by 37
HomotopicalAlgebra.trivialCofibrationsstatement and proof · cited by 31

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