Theorems · Theorem · group theory
Equiv.Perm.pow_apply_eq_self_of_apply_eq_self
∀ {α : Type u_1} {f : Equiv.Perm α} {x : α}, f x = x → ∀ (n : ℕ), (f ^ n) x = x- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Equiv.Permstatement and proof · cited by 1,375
Cited by5
Results whose statement or proof uses this declaration.
- Equiv.Perm.zpow_apply_eq_self_of_apply_eq_selfproof · cited by 6
- Equiv.Perm.support_pow_leproof · cited by 5
- Equiv.Perm.IsCycle.support_pow_eq_iffproof · cited by 4
- Equiv.Perm.pow_mod_card_support_cycleOf_self_applyproof · cited by 1
- Equiv.Perm.SameCycle.exists_pow_eqproof · cited by 0