Theorems · Theorem · category theory
AlgebraicTopology.AlternatingFaceMapComplex.d_squared
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
(X : CategoryTheory.SimplicialObject C) (n : ℕ),
CategoryTheory.CategoryStruct.comp (AlgebraicTopology.AlternatingFaceMapComplex.objD X (n + 1))
(AlgebraicTopology.AlternatingFaceMapComplex.objD X n) =
0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
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
- Finsetproof · cited by 13,712
- Oppositestatement · cited by 8,081
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- Compl.complproof · cited by 2,925
- Finset.sum_congrproof · cited by 2,323
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicTopology.AlternatingFaceMapComplex.objproof · cited by 146
- AlgebraicTopology.AlternatingCofaceMapComplex.d_squaredproof · cited by 0