Theorems · Theorem · group theory
IsOfFinOrder.pow
∀ {G : Type u_1} [inst : Monoid G] {a : G} {n : ℕ}, IsOfFinOrder a → IsOfFinOrder (a ^ n)- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- one_powproof · cited by 521
- IsOfFinOrderstatement · cited by 113
- pow_right_commproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- IsOfFinOrder.eq_neg_oneproof · cited by 0
- isOfFinOrder_powproof · cited by 0