Theorems · Theorem · group theory
DihedralGroup.exponent
∀ {n : ℕ}, Monoid.exponent (DihedralGroup n) = lcm n 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModproof · cited by 1,024
- orderOfproof · cited by 324
- ZMod.valproof · cited by 159
- GCDMonoid.gcdproof · cited by 143
- Monoid.exponentstatement and proof · cited by 128
- GCDMonoid.lcmstatement and proof · cited by 78
- DihedralGroupstatement and proof · cited by 41
- eq_zero_or_neZeroproof · cited by 36
- orderOf_dvd_iff_pow_eq_oneproof · cited by 22
- dvd_lcm_leftproof · cited by 17
- dvd_lcm_rightproof · cited by 17
- Monoid.order_dvd_exponentproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- DihedralGroup.not_isCyclicproof · cited by 1