Theorems · Theorem · group theory
Group.fg_def
∀ {G : Type u_3} [inst : Group G], Group.FG G ↔ ⊤.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Group.FGstatement and proof · cited by 40
- Subgroup.FGstatement and proof · cited by 18
- Group.FG.outproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Group.fg_iff_monoid_fgproof · cited by 2
- Group.fg_iff'proof · cited by 1