Theorems · Definition · category theory
ChainComplex.of.d
{V : Type u} →
[inst : CategoryTheory.Category.{v, u} V] →
[CategoryTheory.Limits.HasZeroMorphisms V] →
{α : Type u_2} →
[inst_2 : AddRightCancelSemigroup α] →
[inst_3 : One α] → [DecidableEq α] → (X : α → V) → ((n : α) → X (n + 1) ⟶ X n) → (i j : α) → X i ⟶ X jAuxiliary definition for differentials for ChainComplex.of.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.compproof · cited by 17,999
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.eqToHomproof · cited by 860
- AddRightCancelSemigroupstatement and proof · cited by 41
Cited by17
Results whose statement or proof uses this declaration.
- ChainComplex.of_dstatement · cited by 9
- ChainComplex.ofproof · cited by 4
- groupHomology.toCycles_comp_isoCycles₁_homproof · cited by 2
- groupHomology.toCycles_comp_isoCycles₂_homproof · cited by 2
- groupHomology.δ_applyproof · cited by 2
- AlgebraicTopology.DoldKan.N₂_obj_X_dstatement · cited by 0
- ChainComplex.of.d.congr_simpstatement and proof · cited by 0
- AlgebraicTopology.NormalizedMooreComplex.obj_dstatement · cited by 0
- ChainComplex.of_d_nestatement · cited by 0
- groupHomology.chainsFunctor_obj_dstatement · cited by 0
- groupHomology.eq_d₁₀_comp_inv_applystatement and proof · cited by 0
- groupHomology.eq_d₁₀_comp_inv_assocstatement and proof · cited by 0