Theorems · Theorem · functional analysis
Real.enorm_of_nonneg
∀ {r : ℝ}, 0 ≤ r → ‖r‖ₑ = ENNReal.ofReal r- Defined in
- Mathlib.Analysis.Normed.Group.Real
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 9,879
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement · cited by 863
- ENorm.enormstatement · cited by 715
- sup_of_le_leftproof · cited by 218
- NNReal.mkproof · cited by 94
- NNReal.mk.congr_simpproof · cited by 33
- Real.nnnorm_of_nonnegproof · cited by 6
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_topproof · cited by 3
- MeasureTheory.Integrable.measure_norm_ge_lt_topproof · cited by 3
- Manifold.pathELength_comp_of_monotoneOnproof · cited by 2
- MeasureTheory.hasFiniteIntegral_toReal_iffproof · cited by 1
- MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_leproof · cited by 1
- Real.enorm_exp_I_mul_ofReal_sub_one_leproof · cited by 1
- Manifold.pathELength_comp_of_antitoneOnproof · cited by 1
- Real.enorm_ofReal_of_nonnegproof · cited by 1
- ProbabilityTheory.evariance_eq_lintegral_ofRealproof · cited by 1
- ProbabilityTheory.evariance_mulproof · cited by 1