Every divisor probability expression is safe at every integer `q ≥ 2`.
ProvedTypeDensity.divisor_probability_safetype-density
Every divisor probability expression is safe at every integer q ≥ 2.
Preamble
import Definitions.Def_TypeDensity_Basic import Definitions.Def_TypeDensity_Formula_LawAlgebra import Theorems.Thm_TypeDensity_expression_pow_safe import Mathlib.FieldTheory.RatFunc.Basic import Mathlib.MeasureTheory.Measure.Haar.Unique import Mathlib.NumberTheory.ArithmeticFunction.Moebius import Mathlib.NumberTheory.Padics.PadicIntegers import Mathlib.RingTheory.IntegralClosure.IntegralRestrict import Mathlib.RingTheory.MvPowerSeries.Basic import Mathlib.RingTheory.RamificationInertia.Basic import Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology import Mathlib.FieldTheory.Finite.GaloisField import Mathlib.RingTheory.AdicCompletion.Algebra import Mathlib.RingTheory.RegularLocalRing.Defs set_option autoImplicit false open TypeDensity open scoped BigOperators ENNReal
Formal statement
theorem TypeDensity.divisor_probability_safe (s : State) (d : ℕ) :
(divisorProbability s d).allSafe := by sorrySource
TypeDensity/Formula/LawAlgebra.lean#L388-L409