Theorems · Definition · category theory
CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor
{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 : C₂ᵒᵖ) → CategoryTheory.Functor (Φ.op.RightResolution X₂)ᵒᵖ (Φ.LeftResolution (Opposite.unop X₂))The functor (Φ.op.RightResolution X₂)ᵒᵖ ⥤ Φ.LeftResolution X₂.unop.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement and proof · cited by 2,231
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.LocalizerMorphismstatement and proof · cited by 161
- CategoryTheory.MorphismProperty.opstatement · cited by 71
- CategoryTheory.LocalizerMorphism.RightResolutionstatement and proof · cited by 48
- CategoryTheory.LocalizerMorphism.LeftResolutionstatement · cited by 41
- CategoryTheory.LocalizerMorphism.opstatement and proof · cited by 27
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalenceproof · cited by 5
- CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_map_fstatement and proof · cited by 0
- CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_objstatement and proof · cited by 0
- CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_counitIsostatement · cited by 0
- CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence_inversestatement · cited by 0