Theorems · Theorem · functional analysis
ContinuousLinearMap.opNNNorm_mul_flip_apply
∀ (𝕜 : Type u_1) {E : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing E]
[inst_2 : StarRing E] [NormedStarGroup E] [inst_4 : NormedSpace 𝕜 E] [inst_5 : IsScalarTower 𝕜 E E]
[inst_6 : SMulCommClass 𝕜 E E] [RegularNormedAlgebra 𝕜 E] (a : E), ‖(ContinuousLinearMap.mul 𝕜 E).flip a‖₊ = ‖a‖₊- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- NNRealstatement · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- NNNorm.nnnormstatement · cited by 952
- NonUnitalNormedRingstatement and proof · cited by 231
- ContinuousLinearMap.flipstatement · cited by 128
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.