Theorems · Theorem · group theory
addOrderOf_eq_two_iff
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.exponent G = 2 → ∀ {x : G}, addOrderOf x = 2 ↔ x ≠ 0- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- addOrderOfstatement and proof · cited by 208
- AddMonoid.exponentstatement and proof · cited by 70
- AddMonoid.exponent_nsmul_eq_zeroproof · cited by 12
- addOrderOf_zeroproof · cited by 8
- OfNat.one_ne_ofNatproof · cited by 2
- addOrderOf_eq_primeproof · cited by 2
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