Theorems · Theorem · dynamical systems
Function.iterate_succ
∀ {α : Type u} (f : α → α) (n : ℕ), f^[n.succ] = f^[n] ∘ f- Defined in
- Mathlib.Logic.Function.Iterate
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.iteratestatement · cited by 740
Cited by19
Results whose statement or proof uses this declaration.
- Function.iterate_succ'proof · cited by 56
- Set.preimage_iterate_eqproof · cited by 8
- Function.iterate_idproof · cited by 8
- PolynomialModule.monomial_smul_singleproof · cited by 6
- MeasureTheory.Measure.QuasiMeasurePreserving.preimage_iterate_ae_eqproof · cited by 4
- HasFDerivAtFilter.iterateproof · cited by 4
- Polynomial.iterate_derivative_derivative_mul_X_sqproof · cited by 2
- LipschitzWith.dist_iterate_succ_le_geometricproof · cited by 2
- Turing.TM1to1.stepAux_moveproof · cited by 2
- Function.LeftInverse.iterateproof · cited by 1