Theorems · Theorem · category theory
ComplexShape.up_Rel
∀ (α : Type u_2) [inst : Add α] [inst_1 : IsRightCancelAdd α] [inst_2 : One α] (i j : α), (ComplexShape.up α).Rel i j = (i + 1 = j)
- Defined in
- Mathlib.Algebra.Homology.ComplexShape
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddIsRightCancelAddOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShape.upstatement and proof · cited by 1,123
- ComplexShape.Relstatement and proof · cited by 518
- IsRightCancelAddstatement and proof · cited by 69
Cited by8
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.δ_shapeproof · cited by 11
- CochainComplex.HomComplex.Cochain.δ_fromSingleMkproof · cited by 2
- CochainComplex.HomComplex.Cochain.δ_toSingleMkproof · cited by 2
- CochainComplex.ConnectData.shapeproof · cited by 1
- CochainComplex.HomComplex.δ_ofHomotopyproof · cited by 0
- CochainComplex.plus_pathObjectproof · cited by 0
- CochainComplex.cochainComplex_d_succ_succ_zeroproof · cited by 0
- CochainComplex.isIso_liftCycles_iffproof · cited by 0