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Theorems · Theorem · functional analysis

NormedSpace.ext

∀ {𝕜 : Type u_6} {E : Type u_7} {inst : NormedField 𝕜} {inst_1 : SeminormedAddCommGroup E} {x y : NormedSpace 𝕜 E},
  SMul.smul = SMul.smul → x = y
Defined in
Mathlib.Analysis.Normed.Module.Basic
Cited by
2 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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NormedSpace.restrictScalars_eq · cited by 2NormedSpace.restrictScala…NormedSpace.ext_iff · cited by 0NormedSpace.ext_iffNormedSpace · cited by 12499NormedSpaceNorm.norm · cited by 5413Norm.normSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedField · cited by 1084NormedFieldNormedSpace.extCITED BYCITES

Cites4

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Cited by2

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