Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.P_is_eventually_constant
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{X : CategoryTheory.SimplicialObject C} {q n : ℕ},
n ≤ q → (AlgebraicTopology.DoldKan.P (q + 1)).f n = (AlgebraicTopology.DoldKan.P q).f n- Defined in
- Mathlib.AlgebraicTopology.DoldKan.PInfty
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Category.comp_idproof · cited by 2,119
- HomologicalComplex.Xstatement and proof · cited by 1,839
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement and proof · cited by 146
- CategoryTheory.Preadditive.comp_addproof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.Q_is_eventually_constantproof · cited by 1