Theorems · Theorem · functional analysis
Real.enorm_eq_ofReal
∀ {r : ℝ}, 0 ≤ r → ‖r‖ₑ = ENNReal.ofReal r- Defined in
- Mathlib.Analysis.Normed.Group.Real
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- ENNRealstatement and proof · cited by 9,879
- ENNReal.ofRealstatement and proof · cited by 863
- ENorm.enormstatement · cited by 715
- Real.norm_of_nonnegproof · cited by 135
- ofReal_normproof · cited by 39
Cited by16
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mulproof · cited by 4
- MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNormproof · cited by 3
- MeasureTheory.eLpNorm'_le_eLpNorm'_mul_eLpNorm'proof · cited by 2
- MeasureTheory.Measure.variation_toSignedMeasureproof · cited by 2
- MeasureTheory.lintegral_enorm_of_ae_nonnegproof · cited by 2
- ProbabilityTheory.hasFiniteIntegral_prodMk_leftproof · cited by 1
- ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_forall_memLp_exp_mulproof · cited by 1
- MeasureTheory.pdf.hasFiniteIntegral_mulproof · cited by 1
- MeasureTheory.condLExp_enormproof · cited by 1
- Real.enorm_eq_ofReal_absproof · cited by 1
- MeasureTheory.condLExp_ofRealproof · cited by 1
- MeasureTheory.hasFiniteIntegral_prod_iffproof · cited by 1