LocallyFiniteOrder.orderMonoidWithZeroEquiv

(G : Type u_3) →
  [inst : LinearOrderedCommGroupWithZero G] →
    [LocallyFiniteOrder Gˣ] → [Nontrivial Gˣ] → G ≃*o WithZero (Multiplicative ℤ)

Any nontrivial linearly ordered abelian group with zero that is locally finite is isomorphic to ℤᵐ⁰.

Defined in: Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder
Cited by: 0 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LinearOrderedCommGroupWithZero LocallyFiniteOrder Nontrivial

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