Theorems · Theorem · functional analysis
TensorProduct.commIsometry_trans_ridIsometry
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E],
(TensorProduct.commIsometry 𝕜 𝕜 E).trans (TensorProduct.ridIsometry 𝕜 E) = TensorProduct.lidIsometry 𝕜 E- Cited by
- 0 results in Mathlib
- Foundations
- Depth 247 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 · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement and proof · cited by 2,545
- LinearIsometryEquivstatement · cited by 748
- TensorProduct.lidproof · cited by 96
- LinearIsometryEquiv.transstatement · cited by 45
- LinearIsometryEquiv.extproof · cited by 35
- TensorProduct.commIsometrystatement · cited by 14
- TensorProduct.lidIsometrystatement · cited by 10
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