Theorems · Theorem · category theory
HomotopyCategory.Plus.quotient_obj_surjective
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C],
Function.Surjective (HomotopyCategory.Plus.quotient C).obj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- HomologicalComplexproof · cited by 1,691
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- ComplexShape.upstatement and proof · cited by 1,123
- CochainComplexstatement · cited by 1,016
- HomotopyCategorystatement and proof · cited by 132
- HomotopyCategory.quotientproof · cited by 109
- CategoryTheory.ObjectProperty.FullSubcategory.propertyproof · cited by 76
- CochainComplex.plusstatement · cited by 24
- CochainComplex.Plusstatement · cited by 20
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