Theorems · Theorem · category theory
HomotopyCategory.Plus.quotient_obj_obj_as
∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
(X : CochainComplex.Plus C), ((HomotopyCategory.Plus.quotient C).obj X).obj.as = X.obj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplexstatement · cited by 1,691
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement · cited by 1,016
- HomotopyCategorystatement · cited by 132
- CategoryTheory.Quotient.asstatement and proof · cited by 47
- CochainComplex.plusstatement · cited by 24
- CochainComplex.Plusstatement and proof · cited by 20
- homotopicstatement · cited by 12
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