Theorems · Theorem · category theory

HomotopyEquiv.homotopyEquivalences_hom

∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Preadditive V]
  {c : ComplexShape ι} {C D : HomologicalComplex V c} (f : HomotopyEquiv C D),
  HomologicalComplex.homotopyEquivalences V c f.hom

Defined in: Mathlib.Algebra.Homology.Homotopy
Cited by: 1 results in Mathlib
Foundations: Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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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
CategoryTheory.Preadditivestatement and proof · cited by 3,309
HomologicalComplexstatement and proof · cited by 1,691
ComplexShapestatement and proof · cited by 1,684
HomotopyEquiv.homstatement · cited by 45
HomotopyEquivstatement and proof · cited by 27
HomologicalComplex.homotopyEquivalencesstatement · cited by 22

Cited by1

Results whose statement or proof uses this declaration.

HomotopyEquiv.homotopyEquivalences_invproof · cited by 0