Submodule.fg_iff_compact

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (s : Submodule R M), s.FG ↔ IsCompactElement s

Finitely generated submodules are precisely compact elements in the submodule lattice.

Defined in: Mathlib.RingTheory.Finiteness.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring AddCommMonoid Module

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