Theorems · Theorem · group theory
Equiv.Perm.orderOf_cycleOf_dvd_orderOf
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (f : Equiv.Perm α) (x : α),
orderOf (f.cycleOf x) ∣ orderOf f- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Multisetproof · cited by 2,627
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- orderOfstatement and proof · cited by 324
- Equiv.Perm.supportproof · cited by 230
- Multiset.mem_mapproof · cited by 72
- Equiv.Perm.cycleOfstatement and proof · cited by 59
- Equiv.Perm.mem_supportproof · cited by 51
- orderOf_oneproof · cited by 15
- Finset.mem_defproof · cited by 15
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