Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.P_f_idem
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{X : CategoryTheory.SimplicialObject C} (q n : ℕ),
CategoryTheory.CategoryStruct.comp ((AlgebraicTopology.DoldKan.P q).f n) ((AlgebraicTopology.DoldKan.P q).f n) =
(AlgebraicTopology.DoldKan.P q).f n- Cited by
- 5 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.
Cites15
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · 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 · 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.Pstatement · cited by 38
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.PInfty_f_idemproof · cited by 7
- AlgebraicTopology.DoldKan.Q_f_idemproof · cited by 3
- AlgebraicTopology.DoldKan.P_idemproof · cited by 1
- AlgebraicTopology.DoldKan.MorphComponents.id_φproof · cited by 0
- AlgebraicTopology.DoldKan.P_f_idem_assocproof · cited by 0