Theorems · Definition · category theory

CategoryTheory.LocalizerMorphism.RightResolution.w

{C₁ : Type u_1} →
  {C₂ : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C₁] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] →
        {W₁ : CategoryTheory.MorphismProperty C₁} →
          {W₂ : CategoryTheory.MorphismProperty C₂} →
            {Φ : CategoryTheory.LocalizerMorphism W₁ W₂} →
              {X₂ : C₂} → (self : Φ.RightResolution X₂) → X₂ ⟶ Φ.functor.obj self.X₁

a morphism to an object of the form Φ.functor.obj X₁

Defined in

Mathlib.CategoryTheory.Localization.Resolution

Cited by

20 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category