Theorems · Inductive type · commutative algebra
Module.Relations.Solution
{A : Type u} →
[inst : Ring A] → Module.Relations A → (M : Type v) → [inst_1 : AddCommGroup M] → [Module A M] → Type (max v w₀)The type of solutions in a module M of the equations given by relations : Relations A.
- Cited by
- 70 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- RingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- AddCommGroupstatement · cited by 12,871
- Ringstatement · cited by 7,463
- Module.Relationsstatement · cited by 97
Cited by124
Results whose statement or proof uses this declaration.
- Module.Relations.Solution.IsPresentationstatement · cited by 39
- Module.Relations.Solution.varstatement and proof · cited by 39
- Module.Relations.Solution.πstatement and proof · cited by 30
- Module.Presentation.toSolutionstatement · cited by 19
- Module.Relations.Solution.postcompstatement and proof · cited by 17
- Module.Relations.Solution.fromQuotientstatement and proof · cited by 12
- Module.Relations.Solution.π_singlestatement and proof · cited by 7
- Module.Relations.Solution.IsPresentationCorestatement · cited by 7
- Module.Relations.Solution.IsPresentation.bijectivestatement and proof · cited by 6
- Module.Relations.Solution.IsPresentation.descstatement and proof · cited by 6
- Module.Relations.Solution.IsPresentation.uniqstatement and proof · cited by 5
- Module.Relations.Solution.IsPresentationCore.isPresentationstatement and proof · cited by 5