Theorems · Definition · commutative algebra

Module.Presentation.toSolution

{A : Type u} →
  [inst : Ring A] →
    {M : Type v} →
      [inst_1 : AddCommGroup M] → [inst_2 : Module A M] → (self : Module.Presentation A M) → self.Solution M

Defined in: Mathlib.Algebra.Module.Presentation.Basic
Cited by: 19 results in Mathlib
Foundations: Depth 8 from the axioms · uses no axioms
Assumes: Ring AddCommGroup Module

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Cites6

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.Relations.Solutionstatement · cited by 70
Module.Presentation.toRelationsstatement · cited by 49
Module.Presentationstatement and proof · cited by 40

Cited by28

Results whose statement or proof uses this declaration.

Module.Presentation.tensorproof · cited by 4
Module.Presentation.toIsPresentationstatement · cited by 4
Module.Presentation.cokernelSolutionproof · cited by 2
Module.Presentation.CokernelData.mk.injstatement and proof · cited by 1
Module.Presentation.CokernelData.mk.noConfusionstatement and proof · cited by 1
Module.Presentation.directSum_varstatement · cited by 1
Module.Presentation.CokernelData.ofSectionstatement and proof · cited by 1
Module.Presentation.finitePresentationproof · cited by 1
Module.Presentation.RestrictScalarsDataproof · cited by 0
Module.Presentation.cokernelSolution_varstatement · cited by 0
Module.Presentation.CokernelData.mk.injEqstatement and proof · cited by 0
Module.Presentation.cokernel_varstatement and proof · cited by 0