Theorems · Theorem · group theory
AddMonoid.one_lt_exponent
∀ {G : Type u} [inst : AddLeftCancelMonoid G] [Finite G] [Nontrivial G], 1 < AddMonoid.exponent G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finitestatement and proof · cited by 3,029
- Nontrivialstatement and proof · cited by 2,416
- AddMonoid.exponentstatement · cited by 70
- AddLeftCancelMonoidstatement and proof · cited by 37
- not_subsingletonproof · cited by 24
- AddMonoid.exp_eq_one_iffproof · cited by 2
- AddMonoid.exponent_ne_zero_of_finiteproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.