Theorems · Theorem · group theory
AddMonoid.exp_eq_one_iff
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.exponent G = 1 ↔ Subsingleton G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
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
- le_antisymmproof · cited by 2,068
- AddMonoid.exponentstatement and proof · cited by 70
- one_nsmulproof · cited by 63
- AddMonoid.exponent_nsmul_eq_zeroproof · cited by 12
- AddMonoid.exponent_min'proof · cited by 3
- AddMonoid.exponent_pos_of_existsproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoid.one_lt_exponentproof · cited by 0
- AddMonoid.exp_eq_one_of_subsingletonproof · cited by 0