ClassFieldTheory.upperRamificationGroup_antitone
The public canonical upper ramification filtration decreases with its real upper index.
Source context 1 command
Surrounding namespaces, section variables, and local commands at this declaration.
namespace ClassFieldTheoryLean source · statement
theorem upperRamificationGroup_antitone
(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)] :
Antitone (upperRamificationGroup K L)