Theorems · Definition · category theory
CategoryTheory.LocalizerMorphism.HasRightResolutions
{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} → CategoryTheory.LocalizerMorphism W₁ W₂ → PropA localizer morphism has right resolutions when any object has a right resolution.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.LocalizerMorphismstatement and proof · cited by 161
- CategoryTheory.LocalizerMorphism.RightResolutionproof · cited by 48
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iffstatement and proof · cited by 3
- CategoryTheory.LocalizerMorphism.essSurj_of_hasRightResolutionsstatement and proof · cited by 2
- CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.mk'statement and proof · cited by 2
- CategoryTheory.LocalizerMorphism.hasRightResolutions_of_iso_of_essSurjstatement and proof · cited by 2
- CategoryTheory.LocalizerMorphism.hasLeftResolutions_iff_opstatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.hasRightResolutions_arrow_of_functorial_resolutionsstatement · cited by 1
- CategoryTheory.LocalizerMorphism.hasRightResolutions_iff_iso_of_essSurj_of_fullstatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.hasRightResolutions_iff_opstatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.hasRightResolutions_of_iso_of_essSurj_of_fullstatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iff_opproof · cited by 1
- CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.Constructor.isConnectedstatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.isIso_iff_of_hasRightResolutionsstatement and proof · cited by 0