Theorems · Definition · dynamical systems
Function.fixedPoints
{α : Type u_1} → (α → α) → Set αThe set of fixed points of a map f : α → α.
- Defined in
- Mathlib.Dynamics.FixedPoints.Defs
- Cited by
- 90 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Function.IsFixedPtproof · cited by 84
Cited by97
Results whose statement or proof uses this declaration.
- Function.mem_fixedPoints_iffstatement · cited by 16
- Equiv.Perm.OnCycleFactors.kerParamstatement · cited by 10
- Equiv.Perm.commute_ofSubtype_noncommPiCoprodstatement and proof · cited by 5
- Equiv.Perm.Basis.mem_fixedPoints_or_exists_zpow_eqstatement and proof · cited by 5
- Equiv.Perm.Basis.ofPermHomFun_apply_of_mem_fixedPointsstatement and proof · cited by 5
- OrderHom.nextFixedstatement and proof · cited by 4
- OrderHom.prevFixedstatement · cited by 4
- OrdinalApprox.lfpApprox_eq_of_mem_fixedPointsstatement and proof · cited by 4
- Equiv.Perm.card_fixedPointsstatement and proof · cited by 4
- Ordinal.veblenWith_add_oneproof · cited by 3
- Function.mem_fixedPointsstatement · cited by 3
- Equiv.Perm.OnCycleFactors.kerParam_range_eqstatement and proof · cited by 3