Theorems · Theorem · algebraic topology
AlgebraicTopology.DoldKan.P_idem
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{X : CategoryTheory.SimplicialObject C} (q : ℕ),
CategoryTheory.CategoryStruct.comp (AlgebraicTopology.DoldKan.P q) (AlgebraicTopology.DoldKan.P q) =
AlgebraicTopology.DoldKan.P q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.compstatement and proof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- ChainComplexstatement · cited by 350
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement · cited by 146
- HomologicalComplex.hom_extproof · cited by 92
- AlgebraicTopology.DoldKan.Pstatement and proof · cited by 38
- AlgebraicTopology.DoldKan.P_f_idemproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.P_idem_assocproof · cited by 0