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Theorems · Theorem · functional analysis

coe_normSeminorm

∀ (𝕜 : Type u_3) (E : Type u_7) [inst : NormedField 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E],
  ⇑(normSeminorm 𝕜 E) = norm
Defined in
Mathlib.Analysis.Seminorm
Cited by
2 results in Mathlib
Foundations
Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldSeminormedAddCommGroupNormedSpace
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Around this declaration

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

norm_withSeminorms · cited by 12norm_withSeminormsgauge_unit_ball · cited by 1gauge_unit_ballDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealNormedSpace · cited by 12499NormedSpaceNorm.norm · cited by 5413Norm.normSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedField · cited by 1084NormedFieldSeminorm · cited by 272SeminormnormSeminorm · cited by 32normSeminormcoe_normSeminormCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.