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Theorems · Theorem · functional analysis

NormedSpace.Core.toCore

∀ {𝕜 : Type u_6} {E : Type u_7} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : Norm E], NormedSpace.Core 𝕜 E → SeminormedSpace.Core 𝕜 E
Defined in
Mathlib.Analysis.Normed.Module.Basic
Cited by
0 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Quot.sound
Assumes
NormedFieldAddCommGroupModuleNorm
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Around this declaration

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

NormedAddCommGroup.ofCore · cited by 1NormedAddCommGroup.ofCoreNormedAddCommGroup.ofCoreReplaceAll · cited by 0NormedAddCommGroup.ofCore…NormedAddCommGroup.ofCoreReplaceTopology · cited by 0NormedAddCommGroup.ofCore…NormedAddCommGroup.ofCoreReplaceUniformity · cited by 0NormedAddCommGroup.ofCore…Module · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupNormedField · cited by 1084NormedFieldNorm · cited by 512NormSeminormedSpace.Core · cited by 5SeminormedSpace.CoreNormedSpace.Core · cited by 5NormedSpace.CoreCore.toCoreCITED BYCITES

Cites6

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Cited by4

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