Theorems · Definition · commutative algebra
Module.Relations.solutionFinsupp
{A : Type u} →
[inst : Ring A] → (relations : Module.Relations A) → [IsEmpty relations.R] → relations.Solution (relations.G →₀ A)If relations : Relations A involved no relation, then it has an obvious
solution in the module relations.G →₀ A.
- Defined in
- Mathlib.Algebra.Module.Presentation.Free
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finsuppstatement · cited by 5,255
- Finsupp.singleproof · cited by 943
- IsEmptystatement and proof · cited by 759
- Module.Relations.Gstatement and proof · cited by 103
- Module.Relationsstatement and proof · cited by 97
- Module.Relations.Solutionstatement · cited by 70
- Module.Relations.Rstatement and proof · cited by 57
Cited by5
Results whose statement or proof uses this declaration.
- Module.presentationFinsuppproof · cited by 4
- Module.Relations.solutionFinsupp.isPresentationCorestatement and proof · cited by 1
- Module.Relations.solutionFinsupp_isPresentationstatement · cited by 1
- Module.Relations.solutionFinsupp.congr_simpstatement and proof · cited by 0
- Module.Relations.solutionFinsupp_varstatement and proof · cited by 0