Theorems · Theorem · group theory
Monoid.fg_def
∀ {M : Type u_1} [inst : Monoid M], Monoid.FG M ↔ ⊤.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Submonoid.FGstatement and proof · cited by 24
- Monoid.FGstatement and proof · cited by 19
- Monoid.FG.fg_topproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Monoid.fg_of_surjectiveproof · cited by 4
- Group.fg_iff_monoid_fgproof · cited by 2