Theorems · Theorem · category theory
AlgebraicTopology.DoldKan.degeneraciesVanish_iff_QInfty_f_comp
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{X : CategoryTheory.SimplicialObject C} {n : ℕ} {T : C} (f : X.obj (Opposite.op { len := n }) ⟶ T),
AlgebraicTopology.DoldKan.DegeneraciesVanish f ↔
CategoryTheory.CategoryStruct.comp (AlgebraicTopology.DoldKan.QInfty.f n) f = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites38
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Finset.univproof · cited by 3,473
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- SimplexCategorystatement · cited by 2,204
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