Theorems · Theorem · algebraic topology
CategoryTheory.SimplicialObject.Splitting.homotopyEquivNondegComplex_hom
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X : CategoryTheory.SimplicialObject C} (s : X.Splitting)
[inst_1 : CategoryTheory.Preadditive C], s.homotopyEquivNondegComplex.hom = s.toNondegComplex- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- ChainComplexstatement · cited by 350
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement · cited by 146
- CategoryTheory.SimplicialObject.Splittingstatement and proof · cited by 59
- HomotopyEquiv.homstatement and proof · cited by 45
- CategoryTheory.SimplicialObject.Splitting.nondegComplexstatement · cited by 31
- CategoryTheory.SimplicialObject.Splitting.toNondegComplexstatement · cited by 9
- CategoryTheory.SimplicialObject.Splitting.homotopyEquivNondegComplexstatement and proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.