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Theorems · Definition · group theory

WithZero.expEquiv

{G : Type u_5} → [inst : AddGroup G] → G ≃ (WithZero (Multiplicative G))ˣ

The exponential map as an equivalence between G and (Gᵐ⁰)ˣ.

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

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Cited by4

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