Theorems · Theorem · group theory
AddMonoid.addOrderOf_le_exponent
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.ExponentExists G → ∀ (g : G), addOrderOf g ≤ AddMonoid.exponent G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 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.
Cites6
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 · cited by 208
- AddMonoid.exponentstatement · cited by 70
- AddMonoid.ExponentExistsstatement and proof · cited by 17
- AddMonoid.addOrder_dvd_exponentproof · cited by 10
- AddMonoid.ExponentExists.exponent_posproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_eq_iSup_addOrderOfproof · cited by 2