Theorems · Theorem · group theory
AddMonoid.fg_def
∀ {M : Type u_1} [inst : AddMonoid M], AddMonoid.FG M ↔ ⊤.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- AddSubmonoid.FGstatement and proof · cited by 36
- AddMonoid.FGstatement and proof · cited by 31
- AddMonoid.FG.fg_topproof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- AddMonoid.fg_of_surjectiveproof · cited by 3
- AddMonoidAlgebra.finiteType_iff_fgproof · cited by 3
- IsSemilinearSet.interproof · cited by 2
- AddGroup.fg_iff_addMonoid_fgproof · cited by 2
- IsSemilinearSet.sdiffproof · cited by 1
- Module.Finite.iff_addMonoid_fgproof · cited by 0