Theorems · Theorem · category theory

CategoryTheory.LocalizerMorphism.isLeftDerivabilityStructure_iff_op

∀ {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} (Φ : CategoryTheory.LocalizerMorphism W₁ W₂),
  Φ.IsLeftDerivabilityStructure ↔ Φ.op.IsRightDerivabilityStructure

Defined in

Mathlib.CategoryTheory.Localization.DerivabilityStructure.Basic

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category