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Theorems · Theorem · group theory

AddCommute.of_addOrderOf_dvd_two

∀ {G : Type u} [inst : AddMonoid G] [IsCancelAdd G], (∀ (g : G), addOrderOf g ∣ 2) → ∀ (a b : G), AddCommute a b
Defined in
Mathlib.GroupTheory.Exponent
Cited by
1 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidIsCancelAdd

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