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Theorems · Theorem · dynamical systems

Function.IsFixedPt.image_iterate

∀ {α : Type u_1} {f : α → α} {s : Set α},
  Function.IsFixedPt (Set.image f) s → ∀ (n : ℕ), Function.IsFixedPt (Set.image f^[n]) s
Defined in
Mathlib.Dynamics.FixedPoints.Basic
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Module.eq_of_mapsTo_reflection_of_mem · cited by 2Module.eq_of_mapsTo_refle…RootPairing.infinite_of_linearIndependent_coxeterWeight_four · cited by 1RootPairing.infinite_of_l…Set · cited by 53352SetSet.image · cited by 5609Set.imageNat.iterate · cited by 740Nat.iterateFunction.IsFixedPt · cited by 84Function.IsFixedPtFunction.IsFixedPt.iterate · cited by 9IsFixedPt.iterateSet.image_iterate_eq · cited by 1Set.image_iterate_eqIsFixedPt.image_iterateCITED BYCITES

Cites6

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Cited by2

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