Theorems · Definition · category theory
HomologicalComplex.homotopyCofiber.inr
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{ι : Type u_2} →
{c : ComplexShape ι} →
{F G : HomologicalComplex C c} →
(φ : F ⟶ G) →
[inst_2 : HomologicalComplex.HasHomotopyCofiber φ] →
[inst_3 : DecidableRel c.Rel] → G ⟶ HomologicalComplex.homotopyCofiber φThe right inclusion G ⟶ homotopyCofiber φ.
- Defined in
- Mathlib.Algebra.Homology.HomotopyCofiber
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- ComplexShape.Relstatement and proof · cited by 518
- HomologicalComplex.HasHomotopyCofiberstatement and proof · cited by 225
- HomologicalComplex.homotopyCofiber.inrXproof · cited by 33
- HomologicalComplex.homotopyCofiberstatement · cited by 31
Cited by23
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inrproof · cited by 79
- HomologicalComplex.cylinder.ι₀proof · cited by 15
- HomologicalComplex.homotopyCofiber.inrCompHomotopystatement · cited by 10
- HomologicalComplex.cylinder.ι₁proof · cited by 9
- HomologicalComplex.homotopyCofiber.mapArrowHomproof · cited by 6
- HomologicalComplex.homotopyCofiber.inr_descstatement and proof · cited by 5
- HomologicalComplex.homotopyCofiber.inrCompHomotopy_homstatement · cited by 4
- HomologicalComplex.cylinder.ι₀_descproof · cited by 4
- HomologicalComplex.cylinder.ι₁_descproof · cited by 4
- HomologicalComplex.homotopyCofiber.inr_fstatement and proof · cited by 4
- HomologicalComplex.cylinder.map_ι₀_mapHomologicalComplexObjIso_homproof · cited by 2
- HomologicalComplex.cylinder.map_ι₁_mapHomologicalComplexObjIso_homproof · cited by 2