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Theorems · Theorem · functional analysis

UniformSpace.Completion.inner_coe

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  (a b : E), inner 𝕜 ↑a ↑b = inner 𝕜 a b
Defined in
Mathlib.Analysis.InnerProductSpace.Completion
Cited by
1 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeSeminormedAddCommGroupInnerProductSpace
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Around this declaration

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

RKHS.OfKernel.kernel_ofKernel · cited by 0OfKernel.kernel_ofKernelInnerProductSpace · cited by 3523InnerProductSpaceRCLike · cited by 2829RCLikeSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupInner.inner · cited by 1089Inner.innerUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'continuous_inner · cited by 15continuous_innerUniformSpace.Completion.isDenseInducing_coe · cited by 11Completion.isDenseInducin…IsDenseInducing.extend_eq · cited by 9IsDenseInducing.extend_eqIsDenseInducing.prodMap · cited by 4IsDenseInducing.prodMapCompletion.inner_coeCITED BYCITES

Cites10

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Cited by1

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