Theorems · Theorem · group theory
DihedralGroup.orderOf_r
∀ {n : ℕ} [NeZero n] (i : ZMod n), orderOf (DihedralGroup.r i) = n / n.gcd i.valIf 0 < n, then r i has order n / gcd n i.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement and proof · cited by 1,024
- orderOfstatement and proof · cited by 324
- ZMod.valstatement and proof · cited by 159
- DihedralGroupstatement and proof · cited by 41
- ZMod.natCast_zmod_valproof · cited by 29
- orderOf_powproof · cited by 5
- DihedralGroup.orderOf_r_oneproof · cited by 2
- DihedralGroup.r_one_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- DihedralGroup.exponentproof · cited by 1