Theorems · Definition · commutative algebra

Module.Presentation.toRelations

{A : Type u} →
  [inst : Ring A] →
    {M : Type v} → [inst_1 : AddCommGroup M] → [inst_2 : Module A M] → Module.Presentation A M → Module.Relations A

Defined in: Mathlib.Algebra.Module.Presentation.Basic
Cited by: 49 results in Mathlib
Foundations: Depth 7 from the axioms · uses no axioms
Assumes: Ring AddCommGroup Module

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Cites5

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

Modulestatement and proof · cited by 20,661
AddCommGroupstatement and proof · cited by 12,871
Ringstatement and proof · cited by 7,463
Module.Relationsstatement · cited by 97
Module.Presentationstatement and proof · cited by 40

Cited by61

Results whose statement or proof uses this declaration.

Module.Presentation.toSolutionstatement · cited by 19
exteriorPower.linearMap_extproof · cited by 8
Module.Presentation.cokernelRelationsproof · cited by 6
Module.Presentation.CokernelData.liftstatement · cited by 5
Module.Presentation.tensorproof · cited by 4
Module.Presentation.toIsPresentationstatement · cited by 4
Module.Presentation.directSum_varstatement and proof · cited by 1
Module.Presentation.finitePresentationstatement and proof · cited by 1
Module.Presentation.CokernelData.mk.injstatement and proof · cited by 1
Module.Presentation.CokernelData.mk.noConfusionstatement and proof · cited by 1
Module.Presentation.CokernelData.ofSectionstatement and proof · cited by 1
Module.free_iff_exists_presentationstatement and proof · cited by 0