Theorems · Theorem · functional analysis
TensorProduct.norm_tmul
∀ {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 : E) (y : F),
‖x ⊗ₜ[𝕜] y‖ = ‖x‖ * ‖y‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement · cited by 2,545
- MulZeroClass.mul_zeroproof · cited by 2,091
- TensorProduct.tmulstatement and proof · cited by 1,182
- sub_zeroproof · cited by 938
- Real.sqrtproof · cited by 545
- RCLike.ofRealproof · cited by 350
Cited by2
Results whose statement or proof uses this declaration.
- TensorProduct.nnnorm_tmulproof · cited by 2
- TensorProduct.dist_tmul_leproof · cited by 0