Theorems · Theorem · group theory

AddMonoidHom.isOfFinAddOrder

∀ {G : Type u_1} {H : Type u_2} [inst : AddMonoid G] [inst_1 : AddMonoid H] (f : G →+ H) {x : G},
  IsOfFinAddOrder x → IsOfFinAddOrder (f x)

The image of an element of finite additive order has finite additive order.

Defined in

Mathlib.GroupTheory.OrderOfElement

Cited by

2 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

AddMonoidAddMonoid