Theorems · Theorem · functional analysis
ContinuousLinearMap.opENorm_mul
∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] (R : Type u_3) [inst_1 : NonUnitalNormedRing R] [inst_2 : NormedSpace 𝕜 R] [inst_3 : IsScalarTower 𝕜 R R] [inst_4 : SMulCommClass 𝕜 R R] [RegularNormedAlgebra 𝕜 R] [Nontrivial R], ‖ContinuousLinearMap.mul 𝕜 R‖ₑ = 1
- Defined in
- Mathlib.Analysis.Normed.Operator.Mul
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- IsScalarTowerstatement and proof · cited by 3,896
- Nontrivialstatement and proof · cited by 2,416
- SMulCommClassstatement and proof · cited by 1,927
- ENNReal.ofNNRealproof · cited by 1,279
- ENorm.enormstatement · cited by 715
- NonUnitalNormedRingstatement and proof · cited by 231
- ContinuousLinearMap.mulstatement · cited by 63
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