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Theorems · Theorem · group theory

Subgroup.fg_iff_submonoid_fg

∀ {G : Type u_3} [inst : Group G] (P : Subgroup G), P.FG ↔ P.FG

A subgroup is finitely generated if and only if it is finitely generated as a submonoid.

Defined in
Mathlib.GroupTheory.Finiteness
Cited by
5 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group

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