Theorems · Theorem · group theory
Equiv.Perm.SameCycle.of_zpow
∀ {α : Type u_2} {f : Equiv.Perm α} {x y : α} {n : ℤ}, (f ^ n).SameCycle x y → f.SameCycle x y- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.SameCyclestatement and proof · cited by 116
- zpow_mulproof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycleOn.of_zpowproof · cited by 0