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Theorems · Definition · group theory

unitsEquivNeZero

{G₀ : Type u_1} → [inst : GroupWithZero G₀] → G₀ˣ ≃ { a // a ≠ 0 }

In a GroupWithZero G₀, the unit group G₀ˣ is equivalent to the subtype of nonzero elements.

Defined in
Mathlib.Algebra.GroupWithZero.Units.Equiv
Cited by
3 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupWithZero

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