module
module
IndisputableMonolith.NumberTheory.EulerInstantiation
show as:
view Lean formalization →
used by (6)
-
IndisputableMonolith.NumberTheory.AnalyticTrace -
IndisputableMonolith.NumberTheory.ArgumentPrincipleProved -
IndisputableMonolith.NumberTheory.CarrierBudgetComparison -
IndisputableMonolith.NumberTheory.ConcreteEulerLedger -
IndisputableMonolith.NumberTheory.ZetaLedgerBridge -
IndisputableMonolith.Unification.UnifiedRH
depends on (7)
-
IndisputableMonolith.Constants -
IndisputableMonolith.Cost -
IndisputableMonolith.NumberTheory.AnnularCost -
IndisputableMonolith.NumberTheory.CostCoveringBridge -
IndisputableMonolith.NumberTheory.DefectSampledTrace -
IndisputableMonolith.NumberTheory.EulerCarrierComplex -
IndisputableMonolith.NumberTheory.SampledTrace
declarations in this module (81)
-
def
Primes -
def
PrimeSum -
def
HilbertSchmidtNormSq -
theorem
hilbert_schmidt_convergent -
theorem
eigenvalue_lt_one -
theorem
eigenvalue_pos -
def
det2Factor -
def
det2LogFactor -
theorem
det2_log_factor_bound -
theorem
det2_log_summable -
theorem
det2_product_convergent -
def
carrierLog -
def
carrierValue -
theorem
carrier_log_convergent -
theorem
carrier_pos -
theorem
carrier_nonvanishing -
def
carrierDerivTerm -
def
carrierDerivBound -
theorem
carrierDerivTerm_nonneg -
theorem
carrierDerivBound_summable -
theorem
carrierDerivBound_finite -
theorem
carrierDerivBound_pos -
theorem
carrier_zeta_identity -
theorem
zeros_in_continuation -
def
primeLog -
def
eulerPrimePowerComplex -
def
eulerDet2FactorComplex -
def
eulerPrimeLogDerivTermComplex -
def
zetaReciprocal -
def
defectSensorCenter -
def
defectSensorCirclePoint -
def
zetaReciprocalOnSensorCircle -
theorem
defectSensorCirclePoint_re -
theorem
defectSensorCirclePoint_mem_strip -
theorem
norm_eulerPrimePowerComplex -
theorem
norm_eulerPrimePowerComplex_lt_one -
theorem
norm_eulerPrimePowerComplex_lt_one_on_sensorCircle -
theorem
one_sub_eulerPrimePowerComplex_ne_zero -
theorem
eulerDet2FactorComplex_ne_zero -
theorem
zetaReciprocal_differentiableAt -
theorem
norm_eulerPrimePowerComplex_eq_rpow -
theorem
norm_eulerPrimeLogDerivTermComplex_le -
theorem
norm_form_eq_carrierDerivTerm -
theorem
norm_eulerPrimeLogDerivTermComplex_le_carrierDerivTerm -
theorem
eulerPrimeLogDerivTermComplex_summable -
theorem
analyticAt_riemannZeta -
theorem
zetaReciprocal_meromorphicAt -
theorem
meromorphicOrderAt_zetaReciprocal -
theorem
zetaReciprocal_order_at_zero -
structure
remembers -
structure
WitnessedDefectSensor -
theorem
zetaReciprocal_local_factorization -
def
eulerQuantitativeFactorization -
theorem
eulerQuantitativeFactorization_logDerivBound -
theorem
eulerQuantitativeFactorization_center -
theorem
eulerQuantitativeFactorization_order -
def
eulerCarrierInstance -
def
eulerRegularCarrier -
theorem
euler_regular_carrier_covers_strip -
def
EulerBudgetUpgradeTarget -
theorem
euler_budget_upgrade_extends_regular -
def
eulerZeroTrace -
def
eulerBudgetedCarrier -
theorem
euler_budget_upgrade_target -
def
eulerCostCoveringPackage -
theorem
argument_principle_sampling -
def
DeprecatedDefectAnnularCostBounded -
theorem
defect_annular_cost_bounded_inconsistent -
theorem
rh_from_complex_analysis_axioms -
theorem
rh_no_zeros_in_strip -
theorem
defect_bounded_impossible -
def
zetaDefectSensor -
theorem
sensor_carrier_compatible -
structure
EulerInstantiationCert -
def
mkEulerInstantiationCert -
theorem
euler_rh_conditional -
theorem
riemann_hypothesis_euler_conditional -
def
eulerSampledBudgetedCarrier -
theorem
eulerSampledBudgetedCarrier_scale_zero -
def
eulerSampledPackage