Theorems · Definition · functional analysis

StrongDual.extendRCLike

{𝕜 : Type u_1} →
  [inst : RCLike 𝕜] →
    {F : Type u_2} →
      [inst_1 : TopologicalSpace F] →
        [inst_2 : AddCommGroup F] →
          [inst_3 : Module 𝕜 F] →
            [ContinuousConstSMul 𝕜 F] → [inst_5 : Module ℝ F] → [IsScalarTower ℝ 𝕜 F] → StrongDual ℝ F → StrongDual 𝕜 F

Extend fr : StrongDual ℝ F to StrongDual 𝕜 F. Norm properties of this extension can be found in Mathlib/Analysis/Normed/Module/RCLike/Extend.lean.

Defined in

Mathlib.Analysis.RCLike.Extend

Cited by

16 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeTopologicalSpaceAddCommGroupModuleContinuousConstSMulModuleIsScalarTower