Theorems · Inductive type · group theory
AddMonoid.FG
(M : Type u_3) → [AddMonoid M] → Prop
An additive monoid is finitely generated if it is finitely generated as an additive submonoid of itself.
- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement · cited by 2,864
Cited by36
Results whose statement or proof uses this declaration.
- AddMonoid.FG.fg_topstatement and proof · cited by 10
- AddMonoid.fg_defstatement and proof · cited by 6
- AddMonoid.fg_iff_addSubmonoid_fgstatement and proof · cited by 3
- AddMonoid.fg_of_surjectivestatement and proof · cited by 3
- AddMonoidAlgebra.finiteType_iff_fgstatement and proof · cited by 3
- AddGroup.fg_iff_addMonoid_fgstatement and proof · cited by 2
- IsSemilinearSet.sInterstatement and proof · cited by 2
- isSemilinearSet_setOfPred_eqstatement and proof · cited by 1
- AddMonoid.fg_iffstatement and proof · cited by 1
- AddMonoid.fg_iff_exists_freeAddMonoid_hom_surjectivestatement and proof · cited by 1
- AffineAddMonoid.embeddingstatement and proof · cited by 1
- IsSemilinearSet.biInterstatement and proof · cited by 1