Submonoid.fg_iff

∀ {M : Type u_1} [inst : Monoid M] (P : Submonoid M), P.FG ↔ ∃ S, Submonoid.closure S = P ∧ S.Finite

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

Defined in: Mathlib.GroupTheory.Finiteness
Cited by: 4 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Monoid

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