Theorems · Theorem · functional analysis
RCLike.wInner_cWeight_const_right
∀ {ι : Type u_1} {𝕜 : Type u_3} [inst : Fintype ι] [inst_1 : RCLike 𝕜] (f : ι → 𝕜) (a : 𝕜),
⟪f, Function.const ι a⟫ₙ_[𝕜] = a * Finset.univ.expect fun i => (starRingEnd 𝕜) (f i)- Defined in
- Mathlib.Analysis.RCLike.Inner
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- RCLikestatement and proof · cited by 2,829
- starRingEndstatement and proof · cited by 671
- NNRatstatement · cited by 523
- Finset.expectstatement and proof · cited by 116
- RCLike.wInnerstatement · cited by 33
- RCLike.cWeightstatement · cited by 9
- RCLike.wInner_cWeight_eq_expectproof · cited by 4
- Finset.mul_expectproof · cited by 3
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