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Theorems · Definition · group theory

finEquivZMultiples

{G : Type u_1} → [inst : AddGroup G] → {x : G} → IsOfFinAddOrder x → Fin (addOrderOf x) ≃ ↥(AddSubgroup.zmultiples x)

The equivalence between Fin (addOrderOf a) and Subgroup.zmultiples a, sending i to i • a.

Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
5 results in Mathlib
Foundations
Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroup

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