iterate π | CompOp | 498 mathmath: MeasureTheory.Conservative.iterate, Function.Involutive.iterate_eq_id, Lagrange.eval_iterate_derivative_eq_sum, MeromorphicAt.fun_iterated_deriv, Function.iterate_id, coe_iterateFrobenius_mul, iterate_map_one, Set.MapsTo.iterate_restrict, ODE.FunSpace.exists_contractingWith_iterate_next, LieDerivation.iterate_apply_lie, Function.minimalPeriod_iterate_eq_div_gcd, StrictMono.strictAnti_iterate_of_map_lt, Function.iterate_succ_apply', Set.Sized.shadow_iterate, PerfectClosure.mk_mul_mk, Polynomial.iterate_derivative_zero, Function.Commute.iterate_iterate, Polynomial.Chebyshev.one_sub_X_sq_mul_derivative_derivative_U_eq_poly_in_U, Finset.mem_upShadow_iff_exists_mem_card_add, birkhoffSum_add, Monoid.End.coe_pow, CircleDeg1Lift.iterate_pos_le_iff, add_right_iterate_apply, pow_iterate, birkhoffSum_succ, CompleteLatticeHom.apply_limsup_iterate, CircleDeg1Lift.iterate_eq_of_map_eq_add_int, CircleDeg1Lift.iterate_pos_lt_iff, WittVector.eq_iterate_verschiebung, Turing.TM2to1.tr_respects_auxβ, fwdDiff_iter_pow_eq_zero_of_lt, Turing.Tape.move_right_n_head, mul_left_iterate, Polynomial.aeval_iterate_derivative_of_ge, Function.iterate_injOn_Iio_minimalPeriod, List.iterate_add, Measurable.iterate, Order.pred_iterate, Equiv.Perm.iterate_eq_pow, Function.Involutive.iterate_two_mul_add_one, Finset.mem_shadow_iterate_iff_exists_sdiff, CPolynomialOn.iterated_deriv, Function.periodicOrbit_apply_iterate_eq, Polynomial.iterate_derivative_eq_factorial_smul_sum, Polynomial.iterate_derivative_X_add_pow, Function.minimalPeriod_iterate_eq_div_gcd', Polynomial.dvd_iterate_derivative_pow, Function.Commute.iterate_pos_lt_iff_map_lt', Function.Involutive.iterate_bit0, iter_deriv_zpow', exists_pred_iterate_iff_le, Function.iterate_add_apply, MeasureTheory.MeasurePreserving.exists_mem_iterate_mem, Function.Commute.iterate_pos_lt_of_map_lt', Function.iterate_succ, dist_birkhoffSum_birkhoffSum_le, Function.periodicOrbit_def, Function.comp_iterate_pred_of_pos, MeasureTheory.Conservative.frequently_measure_inter_ne_zero, Polynomial.aeval_iterate_derivative_self, Polynomial.Chebyshev.iterate_derivative_T_eval_one_recurrence, exists_succ_iterate_iff_le, Function.antitone_iterate_of_le_id, WittVector.iterate_verschiebung_mul, Polynomial.aeval_pow_two_pow_dvd_aeval_iterate_newtonMap, WittVector.verschiebung_nonzero, Polynomial.iterate_derivative_mul_X, Function.Commute.iterate_pos_lt_iff_map_lt, iteratedDerivWithin_eq_iterate, fwdDiff_iter_comp_add, Polynomial.iterate_derivative_X, MonoidHom.map_iterate_frobenius, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, LSeries_iteratedDeriv, birkhoffSum_apply_sub_birkhoffSum, ONote.fastGrowing_succ, Set.MapsTo.coe_iterate_restrict, Monotone.iterate_le_of_le, CircleDeg1Lift.le_iterate_of_add_int_le_map, SkewPolynomial.Ο_iterate_apply, MeasureTheory.Measure.QuasiMeasurePreserving.liminf_preimage_iterate_ae_eq, Polynomial.iterate_derivative_X_sub_pow, Function.iterate_zero, Function.IsFixedPt.preimage_iterate, fwdDiff_iter_finset_sum, add_left_iterate_apply_zero, List.Chain'.iterate_eq_of_apply_eq, Function.Involutive.iterate_odd, Function.RightInverse.iterate, PadicInt.fwdDiff_tendsto_zero, Function.periodicOrbit_eq_cycle_map, ContractingWith.apriori_edist_iterate_efixedPoint_le', LocallyLipschitz.iterate, fwdDiff_iter_eq_sum_shift, Function.iterate_succ', add_left_iterate_apply, Polynomial.derivativeFinsupp_apply_toFun, Function.iterate_add_eq_iterate, CircleDeg1Lift.translate_iterate, IsPredArchimedean.exists_pred_iterate_of_le, Polynomial.iterate_derivative_derivative_mul_X_sq, ContractingWith.aposteriori_dist_iterate_fixedPoint_le, LE.le.exists_pred_iterate, Monotone.monotone_iterate_of_le_map, MeasureTheory.MeasurePreserving.exists_mem_iterate_mem_of_measure_univ_lt_mul_measure, List.getElem?_iterate, AlgEquiv.coe_pow, Ordinal.lt_gamma0, HasDerivAtFilter.iterate, LinearEquiv.coe_pow, MeasureTheory.Measure.QuasiMeasurePreserving.iterate, dist_birkhoffAverage_apply_birkhoffAverage, Polynomial.hermite_eq_iterate, List.foldl_const, Polynomial.iterate_derivative_natCast_mul, Set.image_iterate_eq, bernsteinPolynomial.iterate_derivative_at_1_eq_zero_of_lt, ContractingWith.apriori_dist_iterate_fixedPoint_le, Polynomial.fwdDiff_iter_degree_add_one_eq_zero, finCycle_eq_finRotate_iterate, LaurentSeries.derivative_iterate_coeff, List.range_map_iterate, PerfectClosure.mk_add_mk, Order.succ_iterate, LSeries.absicssaOfAbsConv_logPowMul, Ordinal.iterate_veblen_lt_gamma0, Turing.TM2to1.tr_respects_auxβ, MonoidHom.iterate_map_frobenius, Function.exists_iterate_apply_eq_of_mem_periodicPts, MeromorphicOn.fun_iterated_deriv, Ordinal.lt_epsilon_zero, Finset.iterated_kk, zsmul_iterate, Ordinal.iterate_omega0_opow_lt_epsilon0, Module.End.pow_apply, Polynomial.exists_iterate_derivative_eq_factorial_smul, CircleDeg1Lift.iterate_mono, Function.Commute.iterate_self, Function.Commute.iterate_iterate_self, ContinuousOn.iterate, Real.deriv2_binEntropy, Function.periodicOrbit_chain, Polynomial.derivativeFinsupp_apply_apply, Monotone.iterate_comp_le_of_le, Monotone.iterate, Polynomial.iterate_derivative_comp_one_sub_X, Function.iterate_add_minimalPeriod_eq, Ordinal.iterate_le_nfp, RingHom.map_iterate_frobenius, Function.Commute.iterate_le_of_map_le, CompleteLatticeHom.apply_liminf_iterate, iteratedDerivWithin_of_isOpen_eq_iterate, iter_deriv_zpow, LipschitzWith.edist_iterate_succ_le_geometric, Turing.Tape.write_move_right_n, Function.Injective.iterate, Ordinal.nfp_le_iff, Module.End.coe_pow, Set.MapsTo.iterate, Function.Involutive.iterate_bit1, CircleDeg1Lift.iterate_monotone, Polynomial.iterate_comp_eval, MeromorphicAt.iterated_deriv, IsUltrametricDist.norm_fwdDiff_iter_apply_le, LinearIsometry.coe_pow, Function.involutive_iff_iter_2_eq_id, smul_iterate, Complex.iter_deriv_exp, succ_iterate, HasFDerivAt.iterate, PreTilt.coeff_iterate_frobeniusEquiv_symm, MeasureTheory.MeasurePreserving.iterate, LipschitzWith.dist_iterate_succ_le_geometric, Polynomial.Chebyshev.iterate_derivative_T_eval_zero_recurrence, Polynomial.iterate_derivative_X_pow_eq_natCast_mul, Polynomial.fwdDiff_iter_eq_zero_of_degree_lt, toZ_of_ge, Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors, Finset.mem_upShadow_iterate_iff_exists_card, Module.reflection_reflection_iterate, iterate_pred_toZ, Function.Involutive.iterate_even, Function.Involutive.iterate_two_mul, Function.iterate_add, nsmul_iterate, Function.iterate_le_id_of_le_id, Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative, JacobsonNoether.exist_pow_eq_zero_of_le, pred_iterate, Perfection.coeff_iterate_frobenius, Module.infinite_range_reflection_reflection_iterate_iff, toZ_iterate_pred_ge, AddConstMap.pow_apply, Polynomial.iterate_derivative_C, Function.periodicOrbit_chain', FiniteField.coe_frobeniusAlgEquivOfAlgebraic_iterate, Polynomial.eval_iterate_derivative_rootMultiplicity, Polynomial.iterate_derivative_derivative_mul_X, WittVector.iterate_verschiebung_coeff_eq_zero, Polynomial.iterate_derivative_eq_zero, HasStrictFDerivAt.iterate, Function.IsPeriodicPt.iterate_mod_apply, Polynomial.hermite_eq_deriv_gaussian', Set.SurjOn.iterate, Set.preimage_iterate_eq, ContractingWith.tendsto_iterate_efixedPoint, Polynomial.iterate_derivative_X_pow_eq_smul, iterate_map_add, subset_iterate_compRel, WittVector.iterate_frobenius_coeff, ContinuousLinearMap.coe_pow, UniformContinuous.iterate, Function.IsPeriodicPt.isFixedPt, Lagrange.iterate_derivative_interpolate, LieModule.iterate_toEnd_mem_lowerCentralSeriesβ, add_left_iterate, Polynomial.pow_sub_dvd_iterate_derivative_pow, Real.iter_deriv_exp, LE.le.exists_succ_iterate, Polynomial.isNilpotent_iterate_newtonMap_sub_of_isNilpotent, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Dynamics.mem_dynEntourage, Polynomial.iterate_derivative_eq_sum, Differentiable.iterate, Polynomial.Chebyshev.iterate_derivative_U_eval_zero_recurrence, fwdDiff_iter_choose_zero, iter_deriv_pow', HasFDerivWithinAt.iterate, WittVector.iterate_verschiebung_iterate_frobenius, IterateMulAct.mk_smul, Polynomial.sumIDeriv_apply, ContractingWith.exists_fixedPoint, Function.Commute.iterate_pos_le_iff_map_le', iterate_map_zero, ContDiff.iterate_deriv, add_right_iterate, StarAlgEquiv.coe_pow, fwdDiff_iter_add, Polynomial.Chebyshev.one_sub_X_sq_mul_iterate_derivative_U_eval, iterate_map_mul, AddMonoid.End.coe_pow, ContractingWith.tendsto_iterate_fixedPoint, Polynomial.hermite_eq_deriv_gaussian, PadicInt.fwdDiff_iter_le_of_forall_le, List.IsChain.iterate_eq_of_apply_eq, Polynomial.natDegree_iterate_comp, Function.LeftInverse.iterate, ContMDiffOn.iterate, Function.IsFixedPt.iterate, Function.iterate_pred_comp_of_pos, RingHom.iterate_map_frobenius, Function.Commute.iterate_pos_lt_of_map_lt, RingHom.map_iterate_frobeniusEquiv_symm, vadd_iterate, LipschitzWith.iterate, AnalyticAt.iterated_deriv, toZ_iterate_succ, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, bernsteinPolynomial.iterate_derivative_succ_at_0_eq_zero, Polynomial.iterate_derivative_eq_zero_of_degree_lt, Polynomial.isRoot_iterate_derivative_of_lt_rootMultiplicity, Polynomial.iterate_derivative_prod_X_sub_C, Function.Semiconjβ.iterate, coe_iterateFrobenius, Order.pred_iterate_le, Ordinal.iterate_veblen_lt_gamma_zero, iterate_frobenius, Polynomial.Chebyshev.iterate_derivative_U_eval_one_recurrence, DifferentiableAt.iterate, iterate_map_neg, Function.injective_iff_iterate_factorial_card_eq_id, dist_birkhoffSum_apply_birkhoffSum, iterate_map_pow, iterate_map_nsmul, Polynomial.factorial_mul_shiftedLegendre_eq, Polynomial.Chebyshev.one_sub_X_sq_mul_derivative_derivative_T_eq_poly_in_T, Function.Commute.iterate_right, StrictMono.iterate, iteratedDeriv_eq_iterate, MeasureTheory.Conservative.measure_inter_frequently_image_mem_eq, Polynomial.iterate_derivative_smul, Function.IsPeriodicPt.apply_iterate, fwdDiff_iter_eq_factorial, Function.iterate_mul, Polynomial.coeff_iterate_derivative, hom_coe_pow, PadicInt.hasSum_mahler, RightOrdContinuous.iterate, MeasureTheory.Conservative.exists_mem_iterate_mem, Function.iterate_one, iterate_frobeniusEquiv_symm_pow_p_pow, toZ_iterate_pred, List.getElem_iterate, MeasureTheory.Conservative.exists_mem_iterate_mem', ODE.FunSpace.dist_iterate_next_le, iterate_map_div, Polynomial.Chebyshev.iterate_derivative_U_eval_one, Polynomial.iterate_derivative_C_mul, eventually_uniformity_iterate_comp_subset, CircleDeg1Lift.lt_iterate_pos_iff, Polynomial.iterate_derivative_mul_X_pow, iterate_map_inv, Function.Semiconj.iterate_right, MeasureTheory.Measure.QuasiMeasurePreserving.preimage_iterate_ae_eq, ODE.FunSpace.dist_iterate_next_iterate_next_le, ContractingWith.exists_fixedPoint', Function.iterate_mod_minimalPeriod_eq, Polynomial.iterate_derivative_sub, Filter.Tendsto.iterate, WittVector.iterate_verschiebung_mul_coeff, Finset.mem_shadow_iterate_iff_exists_card, iter_deriv_inv, DifferentiableWithinAt.iterate, PerfectClosure.mk_eq_iff, Polynomial.iterate_derivative_X_pow_eq_C_mul, Finset.shadow_iterate_empty, Function.Commute.self_iterate, vadd_iterate_apply, Ordinal.lt_gamma_zero, ContinuousAlgHom.coe_pow, iter_deriv_inv', Polynomial.factorial_smul_hasseDeriv, Function.iterate_commute, Polynomial.Chebyshev.one_sub_X_sq_mul_iterate_derivative_T_eq_poly_in_T, toZ_iterate_succ_le, Polynomial.iterate_derivative_neg, exists_pred_iterate_or, Function.IsPeriodicPt.periodic_iterate, IsSuccArchimedean.exists_succ_iterate_of_le, Function.Bijective.iterate, PadicInt.fwdDiff_mahlerSeries, Continuous.iterate, Turing.TM1to1.trTape'_move_left, Function.iterate_succ_apply, Monotone.le_iterate_of_le, ContDiff.iterate_deriv', Real.deriv2_qaryEntropy, Ordinal.lt_nfp_iff, Perfection.lift_apply_apply_coe, Function.Involutive.iterate_eq_self, PreTilt.coeff_iterate_frobenius, Function.Commute.comp_iterate, MeasureTheory.Conservative.inter_frequently_image_mem_ae_eq, Function.Commute.iterate_pos_le_iff_map_le, PreTilt.untilt_iterate_frobeniusEquiv_symm_pow, Meromorphic.iterated_deriv, StrictMono.strictMono_iterate_of_lt_map, iterate_map_sub, Polynomial.pow_sub_dvd_iterate_derivative_of_pow_dvd, fixedPoints.lfp_eq_sSup_iterate, MeasurableSpace.le_invariants_iterate, ContMDiff.iterate, PerfectionMap.surjective, Polynomial.iterate_derivative_X_sub_pow_self, PadicInt.mahlerEquiv_apply, add_right_iterate_apply_zero, Function.Commute.iterate_left, Pi.map_iterate, CircleDeg1Lift.le_iterate_pos_iff, DifferentiableOn.iterate, Real.iter_deriv_rpow_const, Polynomial.fwdDiff_iter_degree_eq_factorial, mul_left_iterate_apply_one, Set.BijOn.iterate, HasDerivAt.iterate, CircleDeg1Lift.iterate_le_of_map_le_add_int, Turing.EvalsTo.evals_in_steps, Monotone.antitone_iterate_of_map_le, HasFDerivAtFilter.iterate, Polynomial.Chebyshev.iterate_derivative_U_eval_one_eq_div, Function.minimalPeriod_apply_iterate, Monotone.le_iterate_comp_of_le, Polynomial.Chebyshev.iterate_derivative_T_eval_one, mul_right_iterate_apply_one, iter_deriv_inv_linear_sub, Function.IsPeriodicPt.iterate, WittVector.iterate_verschiebung_mul_left, Polynomial.iterate_comp_evalβ, LaurentSeries.derivative_iterate, WittVector.iterate_verschiebung_coeff, SkewPolynomial.monomial_mul_monomial, Function.iterate_fixed, Turing.TM1to1.stepAux_move, Polynomial.one_lt_rootMultiplicity_iff_isRoot_iterate_derivative, CircleDeg1Lift.coe_pow, fixedPoints.gfp_eq_sInf_iterate, List.mem_iterate, FormalMultilinearSeries.coeff_iterate_fslope, dist_birkhoffAverage_birkhoffAverage_le, Function.Commute.iterate_eq_of_map_eq, LineDeriv.iteratedLineDerivOp_const_eq_iter_lineDerivOp, fwdDiff_addChar_eq, Polynomial.natDegree_iterate_derivative, iter_deriv_inv_linear, Perfection.coeff_iterate_frobeniusEquiv_symm, Polynomial.iterate_derivative_mul, LinearEquiv.pow_apply, Polynomial.aeval_iterate_derivative_of_lt, PerfectClosure.iterate_frobenius_mk, Polynomial.iterate_derivative_intCast_mul, ContractingWith.tendsto_iterate_efixedPoint', LieModule.iterate_toEnd_mem_lowerCentralSeries, Function.monotone_iterate_of_id_le, Set.InjOn.iterate, Finset.mem_shadow_iterate_iff_exists_mem_card_add, birkhoffAverage_apply_sub_birkhoffAverage, Function.iterate_eq_iterate_iff_of_lt_minimalPeriod, DilationEquiv.coe_pow, Function.iterate_zero_apply, fwdDiff_aux.coe_fwdDiffβ_pow, HasStrictDerivAt.iterate, Turing.TM1to1.trTape'_move_right, Function.iterate_minimalPeriod, PerfectClosure.eq_iff, Polynomial.iterate_derivative_map, Polynomial.sumIDeriv_apply_of_le, Ordinal.Principal.iterate_lt, RingHom.coe_pow, Dynamics.mem_ball_dynEntourage, bernsteinPolynomial.iterate_derivative_at_0_eq_zero_of_lt, bernsteinPolynomial.iterate_derivative_at_0, mul_left_iterate_apply, Ordinal.iterate_omega0_opow_lt_epsilon_zero, Function.iterate_mem_periodicOrbit, Ordinal.iSup_iterate_eq_nfp, iterate_succ_toZ, MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_le, Polynomial.iterate_derivative_one, ONote.fastGrowing_def, mul_right_iterate_apply, Polynomial.Chebyshev.one_sub_X_sq_mul_iterate_derivative_U_eq_poly_in_U, Function.IsFixedPt.image_iterate, MeromorphicOn.iterated_deriv, mul_right_iterate, MonoidHom.map_iterate_frobeniusEquiv_symm, CircleDeg1Lift.mul_floor_map_zero_le_floor_iterate_zero, Equiv.Perm.coe_pow, Perfection.coeff_iterate_frobenius', iterate_map_zpow, Function.periodic_iterate_iff, Cardinal.preBeth_nat, fwdDiff_iter_sum_mul_pow_eq_zero, Function.mem_periodicOrbit_iff, shift_eq_sum_fwdDiff_iter, AnalyticOnNhd.iterated_deriv, hom_coe_nsmul, CircleDeg1Lift.iterate_pos_eq_iff, exists_succ_iterate_or, AddConstMap.coe_pow, IterateAddAct.mk_vadd, Function.iterate_invariant, ContractingWith.apriori_edist_iterate_efixedPoint_le, LieDerivation.iterate_apply_lie', smul_iterate_apply, OrderHom.iterate_sup_le_sup_iff, Finset.mem_upShadow_iterate_iff_exists_sdiff, Primrec.nat_iterate, Polynomial.iterate_derivative_sum, Polynomial.Chebyshev.one_sub_X_sq_mul_iterate_derivative_T_eval, Prod.map_iterate, Polynomial.sumIDeriv_apply_of_lt, fwdDiff_iter_const_smul, Polynomial.Chebyshev.iterate_derivative_T_eval_one_eq_div, Function.Surjective.iterate, ODE.FunSpace.dist_iterate_next_apply_le, MeasureTheory.Measure.QuasiMeasurePreserving.limsup_preimage_iterate_ae_eq, HasDerivWithinAt.iterate, toZ_of_lt, Function.Commute.iterate_pos_eq_iff_map_eq, fwdDiff_iter_choose, Ordinal.iterate_lt_nfp, Function.iterate_comm, zpow_iterate, Turing.TM2to1.tr_respects_auxβ, List.foldr_const, PreTilt.coeff_iterate_frobenius', RingAut.coe_pow, SetRel.subset_iterate_comp, iterateFrobenius_mul_apply, AlgHom.coe_pow, Order.le_succ_iterate, Ordinal.lt_epsilon0, deriv2_sqrt_mul_log, Dynamics.dynEntourage_eq_inter_Ico, Finset.kruskal_katona_lovasz_form, LeftOrdContinuous.iterate, iter_deriv_pow, Real.deriv2_negMulLog, iterate_map_zsmul, ContinuousAt.iterate, Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors', bernsteinPolynomial.iterate_derivative_at_1, Polynomial.expand_pow, Function.Semiconj.iterate_left, Function.id_le_iterate_of_id_le, MeasureTheory.Conservative.frequently_ae_mem_and_frequently_image_mem, Real.deriv2_mul_log, Finset.mem_upShadow_iterate_iff_exists_mem_card_add
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