Theorems · Theorem · algebraic topology
CategoryTheory.SimplicialObject.Splitting.PInfty_toNondegComplex_assoc
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X : CategoryTheory.SimplicialObject C} (s : X.Splitting)
[inst_1 : CategoryTheory.Preadditive C] {Z : ChainComplex C ℕ} (h : s.nondegComplex ⟶ Z),
CategoryTheory.CategoryStruct.comp AlgebraicTopology.DoldKan.PInfty
(CategoryTheory.CategoryStruct.comp s.toNondegComplex h) =
CategoryTheory.CategoryStruct.comp s.toNondegComplex h- Cited by
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- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- ChainComplexstatement and proof · cited by 350
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement · cited by 146
- AlgebraicTopology.DoldKan.PInftystatement and proof · cited by 94
- CategoryTheory.SimplicialObject.Splittingstatement and proof · cited by 59
- CategoryTheory.SimplicialObject.Splitting.nondegComplexstatement and proof · cited by 31
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