Theorems · Theorem · category theory

HomotopicalAlgebra.CofibrantObject.toHoCat_obj_surjective

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C],
  Function.Surjective HomotopicalAlgebra.CofibrantObject.toHoCat.obj

Defined in: Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
Cited by: 0 results in Mathlib
Foundations: Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category HomotopicalAlgebra.ModelCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
HomotopicalAlgebra.ModelCategorystatement and proof · cited by 141
HomotopicalAlgebra.CofibrantObjectstatement and proof · cited by 35
HomotopicalAlgebra.cofibrantObjectsstatement · cited by 34
HomotopicalAlgebra.CofibrantObject.homRelstatement · cited by 20
HomotopicalAlgebra.CofibrantObject.HoCatstatement and proof · cited by 17
HomotopicalAlgebra.CofibrantObject.toHoCatstatement and proof · cited by 14

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