Theorems · Theorem · functional analysis
enorm_mul
∀ {α : Type u_2} [inst : SeminormedAddCommGroup α] [inst_1 : Mul α] [NormMulClass α] (a b : α), ‖a * b‖ₑ = ‖a‖ₑ * ‖b‖ₑ- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ENNReal.ofNNRealproof · cited by 1,279
- NNNorm.nnnormproof · cited by 952
- ENorm.enormstatement · cited by 715
- NormMulClassstatement and proof · cited by 66
- nnnorm_mulproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNormproof · cited by 3
- MeasureTheory.eLpNorm'_le_eLpNorm'_mul_eLpNorm'proof · cited by 2
- le_egauge_smul_leftproof · cited by 1
- ProbabilityTheory.evariance_mulproof · cited by 1