Theorems · Theorem · field theory

Valued.isNonarchimedean_norm

∀ (L : Type u_1) [inst : Field L] (Γ₀ : Type u_2) [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [val : Valued L Γ₀]
  [hv : Valued.v.RankOne], IsNonarchimedean fun x => ‖x‖

Defined in: Mathlib.Topology.Algebra.Valued.NormedValued
Cited by: 0 results in Mathlib
Foundations: Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field LinearOrderedCommGroupWithZero Valued Valuation.RankOne

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Norm.normstatement · cited by 5,413
LinearOrderedCommGroupWithZerostatement and proof · cited by 528
Valued.vstatement and proof · cited by 163
IsNonarchimedeanstatement · cited by 77
Valuedstatement and proof · cited by 70
Valuation.RankOnestatement and proof · cited by 32
Valued.toNormedFieldstatement · cited by 13
Valuation.norm_add_leproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.