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Theorems · Theorem · functional analysis

NormedSpace.restrictScalars_eq

∀ (𝕜 : Type u_1) (𝕜' : Type u_2) [inst : NormedField 𝕜] [inst_1 : NormedField 𝕜'] [inst_2 : NormedAlgebra 𝕜 𝕜']
  {E : Type u_6} [inst_3 : SeminormedAddCommGroup E] [h : NormedSpace 𝕜 E] [inst_4 : NormedSpace 𝕜' E]
  [IsScalarTower 𝕜 𝕜' E], NormedSpace.restrictScalars 𝕜 𝕜' E = h
Defined in
Mathlib.Analysis.Normed.Module.Basic
Cited by
2 results in Mathlib
Foundations
Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldNormedFieldNormedAlgebraSeminormedAddCommGroupNormedSpaceNormedSpaceIsScalarTower
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Around this declaration

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curveIntegralFun_def · cited by 5curveIntegralFun_defcurveIntegral_def · cited by 5curveIntegral_defNormedSpace · cited by 12499NormedSpaceIsScalarTower · cited by 3896IsScalarTowerSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAlgebra · cited by 1165NormedAlgebraNormedField · cited by 1084NormedFieldalgebraMap_smul · cited by 87algebraMap_smulNormedSpace.restrictScalars · cited by 39NormedSpace.restrictScala…NormedSpace.ext · cited by 2NormedSpace.extNormedSpace.restrictScalars_eqCITED BYCITES

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Cited by2

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