Theorems · Theorem · functional analysis
InnerProductSpace.innerSL_norm
∀ (𝕜 : Type u_1) (E : Type u_2) [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E] [Nontrivial E], ‖innerSL 𝕜‖ = 1
- Defined in
- Mathlib.Analysis.InnerProductSpace.Dual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Nontrivialstatement and proof · cited by 2,416
- starRingEndstatement · cited by 671
- innerSLstatement · cited by 93
- LinearIsometry.toContinuousLinearMapproof · cited by 47
- InnerProductSpace.toDualMapproof · cited by 26
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