LocallyFiniteOrder.orderMonoidHom

(G : Type u_3) →
  [inst : CommGroup G] →
    [inst_1 : LinearOrder G] → [IsOrderedMonoid G] → [LocallyFiniteOrder G] → G →*o Multiplicative ℤ

Any linearly ordered abelian group that is locally finite embeds into Multiplicative ℤ.

Defined in: Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder
Cited by: 4 results in Mathlib
Foundations: Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommGroup LinearOrder IsOrderedMonoid LocallyFiniteOrder

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