Theorems · Definition · category theory
CategoryTheory.LocalizerMorphism.RightResolution.unop
{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} → Φ.op.RightResolution X₂ → Φ.LeftResolution (Opposite.unop X₂)The canonical map Φ.op.RightResolution X₂ → Φ.LeftResolution X₂.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement · 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
- CategoryTheory.LocalizerMorphism.RightResolution.wproof · cited by 20
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.RightResolution.unopFunctorproof · cited by 4
- CategoryTheory.LocalizerMorphism.hasLeftResolutions_iff_opproof · cited by 1
- CategoryTheory.LocalizerMorphism.nonempty_leftResolution_iff_opproof · cited by 0
- CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_map_fstatement · cited by 0
- CategoryTheory.LocalizerMorphism.RightResolution.unopFunctor_objstatement · cited by 0
- CategoryTheory.LocalizerMorphism.RightResolution.unop_X₁statement and proof · cited by 0
- CategoryTheory.LocalizerMorphism.RightResolution.unop_wstatement and proof · cited by 0