LocallyFiniteOrder.addMonoidHom

(G : Type u_2) →
  [inst : AddCommGroup G] → [inst_1 : LinearOrder G] → [IsOrderedAddMonoid G] → [LocallyFiniteOrder G] → G →+ ℤ

The canonical embedding (as a monoid hom) from a linearly ordered cancellative additive monoid into ℤ. This is either surjective or zero.

Defined in: Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder
Cited by: 6 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommGroup LinearOrder IsOrderedAddMonoid LocallyFiniteOrder

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