Theorems · Theorem · category theory
AlgebraicTopology.NormalizedMooreComplex.d_squared
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
(X : CategoryTheory.SimplicialObject C) (n : ℕ),
CategoryTheory.CategoryStruct.comp (AlgebraicTopology.NormalizedMooreComplex.objD X (n + 1))
(AlgebraicTopology.NormalizedMooreComplex.objD X n) =
0- Defined in
- Mathlib.AlgebraicTopology.MooreComplex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Top.topproof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Category.assocproof · cited by 6,433
- Finset.univproof · cited by 3,473
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- CategoryTheory.invproof · cited by 467
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicTopology.NormalizedMooreComplex.objproof · cited by 15