If `U` is positive and agrees with `1` through degree `j - 1`, then `ι₋ U` agrees with `1` through degree `j`.
ProvedTypeDensity.qcongr_qminus_qonetype-density
If U is positive and agrees with 1 through degree j - 1, then ι₋ U agrees with 1 through degree j.
Preamble
import Definitions.Def_TypeDensity_Basic import Definitions.Def_TypeDensity_Reciprocity_Defs import Theorems.Thm_TypeDensity_qcongr_qplus_qone 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.RatFunc.AsPolynomial import Mathlib.RingTheory.PowerSeries.Expand import Mathlib.RingTheory.PowerSeries.Log set_option autoImplicit false open TypeDensity
Formal statement
theorem TypeDensity.qcongr_qminus_qone (j : ℕ) (U : QSer) (hU : QPositive U) (h : QCongr (j - 1) U qone) :
QCongr j (qminus U) qone := by sorrySource
TypeDensity/Reciprocity/Defs.lean#L1036-L1042