Theorems · Theorem · group theory
AddSubmonoid.closure_addIrreducible
∀ {M : Type u_1} [inst : AddCancelCommMonoid M] [Subsingleton (AddUnits M)] [AddMonoid.FG M],
AddSubmonoid.closure {p | AddIrreducible p} = ⊤A finitely generated cancellative additive monoid with a single unit is generated by its (finitely many) irreducible elements.
- Defined in
- Mathlib.Algebra.AffineMonoid.Irreducible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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