Theorems · Theorem · dynamical systems
Function.IsFixedPt.perm_pow
∀ {α : Type u_1} {x : α} {e : Equiv.Perm α}, Function.IsFixedPt (⇑e) x → ∀ (n : ℕ), Function.IsFixedPt (⇑(e ^ n)) x- Defined in
- Mathlib.Dynamics.FixedPoints.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, 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 and proof · cited by 62,936
- Equiv.Permstatement and proof · cited by 1,375
- Function.IsFixedPtstatement and proof · cited by 84
- Function.IsFixedPt.iterateproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- MonovaryOn.sum_smul_sum_le_card_smul_sumproof · cited by 4
- Function.IsFixedPt.perm_zpowproof · cited by 4