Theorems · Definition · group theory
addCommMonoidOfExponentTwo
{G : Type u} → [inst : AddMonoid G] → [IsCancelAdd G] → AddMonoid.exponent G = 2 → AddCommMonoid GAny additive group of exponent two is abelian.
- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidIsCancelAdd
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement · cited by 12,281
- AddMonoidstatement and proof · cited by 2,864
- IsCancelAddstatement and proof · cited by 79
- AddMonoid.exponentstatement and proof · cited by 70
- add_comm_of_exponent_twoproof · cited by 1
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