ClassFieldTheory.upperRamificationGroupAfter_le
The right-limit upper group lies in the group at the limiting index.
Source context 1 command
Surrounding namespaces, section variables, and local commands at this declaration.
namespace ClassFieldTheoryLean source · statement
theorem upperRamificationGroupAfter_le
(K L : Type) [Field K] [Field L] [Algebra K L]
[FiniteDimensional K L] [IsAbelianGalois K L]
[ValuativeRel K] [TopologicalSpace K]
[IsNonarchimedeanLocalField K]
[ValuativeRel L] [TopologicalSpace L]
[IsNonarchimedeanLocalField L]
[Valuation.HasExtension (ValuativeRel.valuation K) (ValuativeRel.valuation L)]
(t : ℝ) :
upperRamificationGroupAfter K L t ≤ upperRamificationGroup K L t