Theorems · Theorem · category theory
AlgebraicTopology.DoldKan.MorphComponents.id_a
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
(X : CategoryTheory.SimplicialObject C) (n : ℕ),
(AlgebraicTopology.DoldKan.MorphComponents.id X n).a = AlgebraicTopology.DoldKan.PInfty.f (n + 1)- Cited by
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- Foundations
- Depth 88 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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- SimplexCategorystatement · cited by 2,204
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplex.Hom.fstatement · cited by 845
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement · cited by 146
- AlgebraicTopology.DoldKan.PInftystatement · cited by 94
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