Theorems · Theorem · functional analysis
TensorProduct.norm_comm
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace 𝕜 F]
(x : TensorProduct 𝕜 E F), ‖(TensorProduct.comm 𝕜 E F) x‖ = ‖x‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
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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 · cited by 62,936
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement · cited by 5,413
- InnerProductSpacestatement and proof · cited by 3,523
- LinearEquivstatement · cited by 3,317
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.commstatement · cited by 108
- LinearIsometryEquiv.norm_mapproof · cited by 39
- TensorProduct.commIsometryproof · cited by 14
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