Theorems · Theorem · functional analysis
ContinuousLinearMap.norm_lTensor_le
∀ {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] (g : E →L[𝕜] F),
‖ContinuousLinearMap.lTensor G g‖ ≤ ‖g‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 264 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapstatement and proof · cited by 5,352
- mul_oneproof · cited by 3,885
- InnerProductSpacestatement and proof · cited by 3,523
- one_mulproof · cited by 2,841
- RCLikestatement and proof · cited by 2,829
- TensorProductstatement · cited by 2,545
- Nat.cast_oneproof · cited by 2,501
- le_reflproof · cited by 2,061
Cited by1
Results whose statement or proof uses this declaration.
- TensorProduct.norm_mapL_leproof · cited by 0