Theorems · Theorem · commutative algebra
Module.Presentation.toIsPresentation
∀ {A : Type u} [inst : Ring A] {M : Type v} [inst_1 : AddCommGroup M] [inst_2 : Module A M]
(self : Module.Presentation A M), self.IsPresentation- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- RingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Presentation.toRelationsstatement · cited by 49
- Module.Presentationstatement and proof · cited by 40
- Module.Relations.Solution.IsPresentationstatement · cited by 39
- Module.Presentation.toSolutionstatement · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- exteriorPower.linearMap_extproof · cited by 8
- Module.Presentation.cokernelSolution.isPresentationCoreproof · cited by 1
- Module.Presentation.finitePresentationproof · cited by 1
- Module.Presentation.finiteproof · cited by 0
- Module.free_iff_exists_presentationproof · cited by 0