Theorems · Theorem · functional analysis
RCLike.wInner_sub_left
∀ {ι : Type u_1} {𝕜 : Type u_3} {E : ι → Type u_4} [inst : Fintype ι] [inst_1 : RCLike 𝕜]
[inst_2 : (i : ι) → SeminormedAddCommGroup (E i)] [inst_3 : (i : ι) → InnerProductSpace 𝕜 (E i)] (w : ι → ℝ)
(f₁ f₂ g : (i : ι) → E i), ⟪f₁ - f₂, g⟫_[𝕜, w] = ⟪f₁, g⟫_[𝕜, w] - ⟪f₂, g⟫_[𝕜, w]- Defined in
- Mathlib.Analysis.RCLike.Inner
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- sub_eq_add_negproof · cited by 1,023
- RCLike.wInnerstatement and proof · cited by 33
- RCLike.wInner_add_leftproof · cited by 1
- RCLike.wInner_neg_leftproof · cited by 1
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