Theorems · Inductive type · category theory
CategoryTheory.LocalizerMorphism.LeftResolution
{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 → C₂ → Type (max u_1 v_2)The category of left resolutions of an object in the target category of a localizer morphism.
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.LocalizerMorphismstatement · cited by 161
Cited by67
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.LeftResolution.X₁statement and proof · cited by 29
- CategoryTheory.LocalizerMorphism.LeftResolution.wstatement and proof · cited by 18
- CategoryTheory.LocalizerMorphism.HasLeftResolutionsproof · cited by 14
- CategoryTheory.LocalizerMorphism.LeftResolution.Hom.fstatement and proof · cited by 13
- CategoryTheory.LocalizerMorphism.LeftResolution.Homstatement · cited by 8
- CategoryTheory.LocalizerMorphism.LeftResolution.hwstatement and proof · cited by 7
- CategoryTheory.LocalizerMorphism.LeftResolution.opstatement and proof · cited by 6
- CategoryTheory.LocalizerMorphism.RightResolution.unopstatement · cited by 6
- CategoryTheory.LocalizerMorphism.LeftResolution.opEquivalencestatement and proof · cited by 5
- CategoryTheory.LocalizerMorphism.LeftResolution.opFunctorstatement and proof · cited by 4
- CategoryTheory.LocalizerMorphism.LeftResolution.unopstatement and proof · cited by 4
- CategoryTheory.LocalizerMorphism.RightResolution.opstatement · cited by 4