Theorems · Theorem · algebraic topology
CategoryTheory.SimplicialObject.Splitting.homotopyEquivNondegComplex_inv
∀ {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.inv = s.fromNondegComplex- Cited by
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- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CategoryTheory.SimplicialObject.Splitting.nondegComplexstatement · cited by 31
- HomotopyEquiv.invstatement and proof · cited by 31
- CategoryTheory.SimplicialObject.Splitting.fromNondegComplexstatement · cited by 7
- CategoryTheory.SimplicialObject.Splitting.homotopyEquivNondegComplexstatement and proof · cited by 2
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