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Theorems · Theorem · category theory

HomotopyEquiv.copy_inv

∀ {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) {g : C ⟶ D} (h : Homotopy f.hom g),
  (f.copy h).inv = f.inv
Defined in
Mathlib.Algebra.Homology.Homotopy
Cited by
0 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveHomologicalComplex · cited by 1691HomologicalComplexComplexShape · cited by 1684ComplexShapeHomotopy · cited by 106HomotopyHomotopyEquiv.hom · cited by 45HomotopyEquiv.homHomotopyEquiv.inv · cited by 31HomotopyEquiv.invHomotopyEquiv · cited by 27HomotopyEquivHomotopyEquiv.copy · cited by 3HomotopyEquiv.copyHomotopyEquiv.copy_invCITED BYCITES

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