Theorems · Theorem · commutative algebra
Module.Relations.Solution.IsPresentationCore.isPresentation
∀ {A : Type u} [inst : Ring A] {relations : Module.Relations A} {M : Type v} [inst_1 : AddCommGroup M]
[inst_2 : Module A M] {solution : relations.Solution M} (h : solution.IsPresentationCore), solution.IsPresentation- Cited by
- 5 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- LinearEquivproof · cited by 3,317
- Finsupp.singleproof · cited by 943
- Module.Relations.Gproof · cited by 103
- Module.Relationsstatement and proof · cited by 97
- Module.Relations.Solutionstatement and proof · cited by 70
- Module.Relations.Solution.IsPresentationstatement · cited by 39
- Module.Relations.Solution.varproof · cited by 39
Cited by5
Results whose statement or proof uses this declaration.
- Module.Relations.solutionFinsupp_isPresentationproof · cited by 1
- Module.Relations.Solution.IsPresentation.directSumproof · cited by 0
- Module.Presentation.tautologicalSolution_isPresentationproof · cited by 0
- Module.Relations.Solution.IsPresentation.tensorproof · cited by 0
- Module.Presentation.cokernelSolution.isPresentationproof · cited by 0