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Theorems · Definition · order theory

OrderMonoidIso.withZeroUnits

{α : Type u_6} → [inst : LinearOrderedCommGroupWithZero α] → [DecidablePred fun a => a = 0] → WithZero αˣ ≃*o α

Any linearly ordered group with zero is isomorphic to adjoining 0 to the units of itself.

Defined in
Mathlib.Algebra.Order.Hom.MonoidWithZero
Cited by
4 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderedCommGroupWithZeroDecidablePred

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