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Theorems · Definition · group theory

addCommMonoidOfExponentTwo

{G : Type u} → [inst : AddMonoid G] → [IsCancelAdd G] → AddMonoid.exponent G = 2 → AddCommMonoid G

Any additive group of exponent two is abelian.

Defined in
Mathlib.GroupTheory.Exponent
Cited by
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Foundations
Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidIsCancelAdd

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