Theorems · Theorem · functional analysis
ContinuousLinearMap.lTensor_sub
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} (G : Type u_4) [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace 𝕜 F]
[inst_5 : NormedAddCommGroup G] [inst_6 : InnerProductSpace 𝕜 G] (f₁ f₂ : E →L[𝕜] F),
ContinuousLinearMap.lTensor G (f₁ - f₂) = ContinuousLinearMap.lTensor G f₁ - ContinuousLinearMap.lTensor G f₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 265 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- ContinuousLinearMapstatement and proof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement and proof · cited by 2,545
- ContinuousLinearMap.toLinearMapproof · cited by 528
- ContinuousLinearMap.extproof · cited by 320
- LinearMap.lTensorproof · cited by 203
- sub_applyproof · cited by 51
- ContinuousLinearMap.lTensorstatement and proof · cited by 30
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