Theorems · Theorem · functional analysis
TensorProduct.congrIsometry_refl_refl
∀ {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],
TensorProduct.congrIsometry (LinearIsometryEquiv.refl 𝕜 E) (LinearIsometryEquiv.refl 𝕜 F) =
LinearIsometryEquiv.refl 𝕜 (TensorProduct 𝕜 E F)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- TensorProduct.tmulproof · cited by 1,182
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearMap.extproof · cited by 844
- LinearIsometryEquivstatement · cited by 748
- LinearMap.idproof · cited by 625
- TensorProduct.AlgebraTensorModule.curry_injectiveproof · cited by 159
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