Theorems · Theorem · group theory
Equiv.Perm.SameCycle.conj
∀ {α : Type u_2} {f g : Equiv.Perm α} {x y : α}, f.SameCycle x y → (g * f * g⁻¹).SameCycle (g x) (g y)- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 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.coestatement · cited by 62,936
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.symm_apply_applyproof · cited by 320
- Equiv.Perm.SameCyclestatement and proof · cited by 116
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycle.conjproof · cited by 2
- Equiv.Perm.IsCycleOn.conjproof · cited by 0