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Theorems · Theorem · group theory

IsOfFinAddOrder.add

∀ {G : Type u_1} [inst : AddCommMonoid G] {x y : G}, IsOfFinAddOrder x → IsOfFinAddOrder y → IsOfFinAddOrder (x + y)

Elements of finite additive order are closed under addition.

Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
0 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

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AddCommMonoid.addTorsion · cited by 12AddCommMonoid.addTorsionAddCommMonoid · cited by 12281AddCommMonoidIsOfFinAddOrder · cited by 105IsOfFinAddOrderAddCommute.all · cited by 12AddCommute.allAddCommute.isOfFinAddOrder_add · cited by 1AddCommute.isOfFinAddOrde…IsOfFinAddOrder.addCITED BYCITES

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Cited by1

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