Theorems · Inductive type · category theory

CategoryTheory.LocalizerMorphism.IsInduced

{C₁ : Type u₁} →
  {C₂ : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C₁] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} C₂] →
        {W₁ : CategoryTheory.MorphismProperty C₁} →
          {W₂ : CategoryTheory.MorphismProperty C₂} → CategoryTheory.LocalizerMorphism W₁ W₂ → Prop

If Φ : LocalizerMorphism W₁ W₂, the typeclass Φ.IsInduced says that W₂.inverseImage Φ.functor = W₁.

Defined in

Mathlib.CategoryTheory.Localization.LocalizerMorphism

Cited by

16 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category