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Theorems · Definition · category theory

CategoryTheory.LocalizerMorphism.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} →
            CategoryTheory.LocalizerMorphism W₁ W₂ → CategoryTheory.LocalizerMorphism W₁.op W₂.op

The opposite localizer morphism LocalizerMorphism W₁.op W₂.op deduced from Φ : LocalizerMorphism W₁ W₂.

Defined in
Mathlib.CategoryTheory.Localization.LocalizerMorphism
Cited by
27 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.LocalizerMorphism.LeftResolution.op · cited by 6LeftResolution.opCategoryTheory.LocalizerMorphism.RightResolution.unop · cited by 6RightResolution.unopCategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence · cited by 5LeftResolution.opEquivale…CategoryTheory.LocalizerMorphism.LeftResolution.opFunctor · cited by 4LeftResolution.opFunctorCategoryTheory.LocalizerMorphism.LeftResolution.unop · cited by 4LeftResolution.unopCategoryTheory.LocalizerMorphism.RightResolution.op · cited by 4RightResolution.opCategoryTheory.LocalizerMorphism.RightResolution.unopFunctor · cited by 4RightResolution.unopFunct…CategoryTheory.LocalizerMorphism.isLeftDerivabilityStructure_iff · cited by 3LocalizerMorphism.isLeftD…CategoryTheory.LocalizerMorphism.isLeftDerivabilityStructure_iff_op · cited by 2LocalizerMorphism.isLeftD…CategoryTheory.LocalizerMorphism.hasLeftResolutions_iff_op · cited by 1LocalizerMorphism.hasLeft…CategoryTheory.LocalizerMorphism.hasRightResolutions_iff_op · cited by 1LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iff_of_equivalences · cited by 1LocalizerMorphism.isRight…CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iff_op · cited by 1LocalizerMorphism.isRight…CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_counitIso · cited by 0LeftResolution.opEquivale…CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_functor · cited by 0LeftResolution.opEquivale…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryOpposite · cited by 8081OppositeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Functor.op · cited by 997Functor.opCategoryTheory.LocalizerMorphism · cited by 161CategoryTheory.LocalizerM…CategoryTheory.LocalizerMorphism.functor · cited by 140LocalizerMorphism.functorCategoryTheory.MorphismProperty.op · cited by 71MorphismProperty.opLocalizerMorphism.opCITED BYCITES

Cites7

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Cited by34

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