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Theorems · Definition · order theory

OrderIso.withZeroUnits

{α : Type u_1} → [inst : LinearOrderedCommGroupWithZero α] → WithZero αˣ ≃o α

Given any linearly ordered commutative group with zero α, this is the order isomorphism between WithZero αˣ with α.

Defined in
Mathlib.Algebra.Order.GroupWithZero.WithZero
Cited by
4 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderedCommGroupWithZero

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