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Theorems · Theorem · functional analysis

NormedAddGroupHom.extension_coe_to_fun

∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H]
  [inst_2 : T0Space H] [inst_3 : CompleteSpace H] (f : NormedAddGroupHom G H),
  ⇑f.extension = UniformSpace.Completion.extension ⇑f
Defined in
Mathlib.Analysis.Normed.Group.HomCompletion
Cited by
1 results in Mathlib
Foundations
Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroupT0SpaceCompleteSpace
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Around this declaration

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

NormedAddGroupHom.extension_unique · cited by 1NormedAddGroupHom.extensi…DFunLike.coe · cited by 62936DFunLike.coeSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupCompleteSpace · cited by 2532CompleteSpaceNormedAddGroupHom · cited by 216NormedAddGroupHomUniformSpace.Completion · cited by 192UniformSpace.CompletionT0Space · cited by 179T0SpaceUniformSpace.Completion.extension · cited by 16Completion.extensionNormedAddGroupHom.extension · cited by 4NormedAddGroupHom.extensi…NormedAddGroupHom.extension_c…CITED BYCITES

Cites8

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Cited by1

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