Theorems · Theorem · functional analysis
LinearIsometry.toLinearMap_lTensor
∀ {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] (f : F →ₗᵢ[𝕜] G),
(LinearIsometry.lTensor E f).toLinearMap = LinearMap.lTensor E f.toLinearMap- Cited by
- 0 results in Mathlib
- Foundations
- Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- LinearMapstatement · cited by 10,215
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement · cited by 2,545
- LinearMap.lTensorstatement · cited by 203
- LinearIsometrystatement and proof · cited by 194
- LinearIsometry.toLinearMapstatement · cited by 55
- LinearIsometry.lTensorstatement · cited by 5
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