Theorems · Theorem · group theory
Equiv.Perm.IsCycleOn.conj
∀ {α : Type u_2} {f g : Equiv.Perm α} {s : Set α}, f.IsCycleOn s → (g * f * g⁻¹).IsCycleOn (⇑g '' s)- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Equiv.symmproof · cited by 3,681
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.apply_symm_applyproof · cited by 346
- Equiv.Perm.SameCycleproof · cited by 116
- Equiv.image_eq_preimage_symmproof · cited by 64
- Equiv.Perm.IsCycleOnstatement and proof · cited by 41
- Set.BijOn.compproof · cited by 6
- Equiv.bijOn_imageproof · cited by 2
- Equiv.Perm.SameCycle.conjproof · cited by 2
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