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Theorems · Theorem · category theory

ComplexShape.down_Rel

∀ (α : Type u_2) [inst : Add α] [inst_1 : IsRightCancelAdd α] [inst_2 : One α] (i j : α),
  (ComplexShape.down α).Rel i j = (j + 1 = i)
Defined in
Mathlib.Algebra.Homology.ComplexShape
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
AddIsRightCancelAddOne
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.π₀.d_fromChainComplexXZero · cited by 1π₀.d_fromChainComplexXZeroCochainComplex.ConnectData.shape · cited by 1ConnectData.shapeChainComplex.isIso_descOpcycles_iff · cited by 0ChainComplex.isIso_descOp…CategoryTheory.ProjectiveResolution.complex_d_succ_comp · cited by 0ProjectiveResolution.comp…AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant · cited by 0DoldKan.homotopyPToId_eve…ComplexShape.down · cited by 605ComplexShape.downComplexShape.Rel · cited by 518ComplexShape.RelIsRightCancelAdd · cited by 69IsRightCancelAddComplexShape.down_RelCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.