Theorems · Definition · group theory
commMonoidOfExponentTwo
{G : Type u} → [inst : Monoid G] → [IsCancelMul G] → Monoid.exponent G = 2 → CommMonoid GAny cancellative monoid of exponent two is abelian.
- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidIsCancelMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- CommMonoidstatement · cited by 2,264
- Monoid.exponentstatement and proof · cited by 128
- IsCancelMulstatement and proof · cited by 32
- mul_comm_of_exponent_twoproof · cited by 1
Cited by0
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