Module

LowerRamificationGroupAntitone.lean

Nyll.ClassFieldTheory.Theorems.HasseArf.LowerRamificationGroupAntitone
1 declaration indexed from sourceView source ↗

The lower ramification filtration decreases

The definition uses powers of the maximal ideal of a valuation subring. The inclusion below holds without local-field or finiteness hypotheses.

Declarations

ClassFieldTheory.lowerRamificationGroup_antitone

A larger lower index gives a smaller ramification subgroup.

Source context 2 commands

Surrounding namespaces, section variables, and local commands at this declaration.

namespace ClassFieldTheory
universe u v
theorem lowerRamificationGroup_antitone
    (K : Type u) {L : Type v} [Field K] [Field L] [Algebra K L]
    (A : ValuationSubring L) :
    Antitone (lowerRamificationGroup K A)