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Theorems · Theorem · functional analysis

OrthonormalBasis.singleton_apply

∀ {ι : Type u_7} {𝕜 : Type u_8} [inst : Unique ι] [inst_1 : RCLike 𝕜] (i : ι), (OrthonormalBasis.singleton ι 𝕜) i = 1
Defined in
Mathlib.Analysis.InnerProductSpace.PiL2
Cited by
3 results in Mathlib
Foundations
Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniqueRCLike
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Around this declaration

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

InnerProductSpace.laplacianWithin_eq_iteratedDerivWithin_real · cited by 1InnerProductSpace.laplaci…OrthonormalBasis.coe_singleton · cited by 1OrthonormalBasis.coe_sing…InnerProductSpace.trace_rankOne · cited by 0InnerProductSpace.trace_r…DFunLike.coe · cited by 62936DFunLike.coeRCLike · cited by 2829RCLikeUnique · cited by 400UniqueOrthonormalBasis · cited by 188OrthonormalBasisOrthonormalBasis.singleton · cited by 7OrthonormalBasis.singletonModule.Basis.singleton_apply · cited by 4Basis.singleton_applyOrthonormalBasis.singleton_ap…CITED BYCITES

Cites6

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Cited by3

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