Theorems · Definition · category theory
HomotopyCategory.Plus.quotient
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Preadditive C] → CategoryTheory.Functor (CochainComplex.Plus C) (HomotopyCategory.Plus C)The full and essentially surjective functor
CochainComplex.Plus C ⥤ HomotopyCategory.Plus C.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- ComplexShape.upstatement and proof · cited by 1,123
- CochainComplexstatement · cited by 1,016
- HomotopyCategorystatement · cited by 132
- HomotopyCategory.quotientproof · cited by 109
- CategoryTheory.ObjectProperty.liftproof · cited by 33
- CochainComplex.plusstatement · cited by 24
- CochainComplex.Plusstatement · cited by 20
- HomotopyCategory.plusstatement and proof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- DerivedCategory.Plus.Qproof · cited by 1
- HomotopyCategory.Plus.quotientCompιIsostatement · cited by 0
- HomotopyCategory.Plus.quotient_map_homstatement and proof · cited by 0
- HomotopyCategory.Plus.quotient_obj_obj_asstatement and proof · cited by 0
- HomotopyCategory.Plus.quotient_obj_surjectivestatement · cited by 0
- HomotopyCategory.Plus.isIso_quotient_map_iffstatement and proof · cited by 0