Subgroup.fg_iff

∀ {G : Type u_3} [inst : Group G] (P : Subgroup G), P.FG ↔ ∃ S, Subgroup.closure S = P ∧ S.Finite

An equivalent expression of Subgroup.FG in terms of Set.Finite instead of Finset.

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

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