Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.Q_f_0_eq
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{X : CategoryTheory.SimplicialObject C} (q : ℕ), (AlgebraicTopology.DoldKan.Q q).f 0 = 0All the Q q coincide with 0 in degree 0.
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- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement and proof · cited by 1,839
- sub_selfproof · cited by 996
- HomologicalComplex.Hom.fstatement · cited by 845
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement and proof · cited by 146
- AlgebraicTopology.DoldKan.Qstatement · cited by 18
- AlgebraicTopology.DoldKan.P_f_0_eqproof · cited by 4
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