Theorems · Definition · commutative algebra

Module.Relations.R

{A : Type u} → [inst : Ring A] → Module.Relations A → Type w₁

the index type for relations

Defined in: Mathlib.Algebra.Module.Presentation.Basic
Cited by: 57 results in Mathlib
Foundations: Depth 2 from the axioms · uses no axioms
Assumes: Ring

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Cites2

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

Ringstatement and proof · cited by 7,463
Module.Relationsstatement and proof · cited by 97

Cited by77

Results whose statement or proof uses this declaration.

Module.Relations.relationstatement · cited by 38
Module.Relations.Solution.postcompproof · cited by 17
Module.Relations.mapstatement · cited by 12
Module.Relations.directSumproof · cited by 7
Module.Presentation.cokernelRelationsproof · cited by 6
Module.Relations.tensorproof · cited by 6
Module.Presentation.tensorproof · cited by 4
Module.Relations.Solution.extproof · cited by 4
Module.Relations.map_singlestatement and proof · cited by 3
Module.Relations.range_mapstatement · cited by 3
Module.Relations.solutionFinsuppstatement and proof · cited by 3
Module.Relations.Solution.isPresentation_iffstatement · cited by 3