Theorems · Definition · number theory

IsNonarchimedeanLocalField.recOn

{K : Type u_1} →
  [inst : Field K] →
    [inst_1 : ValuativeRel K] →
      [inst_2 : TopologicalSpace K] →
        {motive : IsNonarchimedeanLocalField K → Sort u} →
          (t : IsNonarchimedeanLocalField K) →
            ([toIsValuativeTopology : IsValuativeTopology K] →
                [toLocallyCompactSpace : LocallyCompactSpace K] →
                  [toIsNontrivial : ValuativeRel.IsNontrivial K] → motive ⋯) →
              motive t

Defined in

Mathlib.NumberTheory.LocalField.Basic

Cited by

0 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

FieldValuativeRelTopologicalSpace