Theorems · Theorem · functional analysis
RCLike.wInner_one_eq_inner
∀ {ι : Type u_1} {𝕜 : Type u_3} [inst : Fintype ι] [inst_1 : RCLike 𝕜] (f g : ι → 𝕜),
⟪f, g⟫_[𝕜] = inner 𝕜 (WithLp.toLp 2 f) (WithLp.toLp 2 g)- Defined in
- Mathlib.Analysis.RCLike.Inner
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- RCLikestatement and proof · cited by 2,829
- Finset.sum_congrproof · cited by 2,323
- one_smulproof · cited by 1,374
- Inner.innerstatement · cited by 1,089
- starRingEndproof · cited by 671
- WithLpstatement · cited by 345
Cited by1
Results whose statement or proof uses this declaration.
- RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zeroproof · cited by 1