Theorems · Theorem · category theory

HomotopicalAlgebra.FibrantObject.HoCat.exists_resolution

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C] (X : C),
  ∃ X',
    ∃ (_ : HomotopicalAlgebra.IsFibrant X'),
      ∃ i, HomotopicalAlgebra.Cofibration i ∧ HomotopicalAlgebra.WeakEquivalence i

Defined in

Mathlib.AlgebraicTopology.ModelCategory.FibrantObjectHomotopy

Cited by

0 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryHomotopicalAlgebra.ModelCategory