Theorems · Definition · functional analysis

InnerProductSpace.Core.toSeminormedAddCommGroup

{𝕜 : Type u_1} →
  {F : Type u_3} →
    [inst : RCLike 𝕜] →
      [inst_1 : AddCommGroup F] → [inst_2 : Module 𝕜 F] → [c : PreInnerProductSpace.Core 𝕜 F] → SeminormedAddCommGroup F

Seminormed group structure constructed from a PreInnerProductSpace.Core structure

Defined in

Mathlib.Analysis.InnerProductSpace.Defs

Cited by

0 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeAddCommGroupModulePreInnerProductSpace.Core