Theorems · Theorem · algebraic topology

AlgebraicTopology.DoldKan.PInfty_comp_PInftyToNormalizedMooreComplex

∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] [inst_1 : CategoryTheory.Abelian A]
  (X : CategoryTheory.SimplicialObject A),
  CategoryTheory.CategoryStruct.comp AlgebraicTopology.DoldKan.PInfty
      (AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex X) =
    AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex X

Defined in: Mathlib.AlgebraicTopology.DoldKan.Normalized
Cited by: 1 results in Mathlib
Foundations: Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian

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Cites21

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.CategoryStruct.compstatement and proof · cited by 17,999
CategoryTheory.Category.assocproof · cited by 6,433
CategoryTheory.Abelianstatement and proof · cited by 1,753
HomologicalComplex.Hom.fproof · cited by 845
ComplexShape.downstatement · cited by 605
CategoryTheory.SimplicialObjectstatement and proof · cited by 548
ChainComplexstatement · cited by 350
CategoryTheory.Subobject.arrowproof · cited by 175
AlgebraicTopology.AlternatingFaceMapComplex.objstatement · cited by 146
AlgebraicTopology.DoldKan.PInftystatement and proof · cited by 94

Cited by1

Results whose statement or proof uses this declaration.

AlgebraicTopology.DoldKan.PInfty_comp_PInftyToNormalizedMooreComplex_assocproof · cited by 0