Theorems · Theorem · real analysis
ENNReal.toNNReal_mono
∀ {a b : ENNReal}, b ≠ ⊤ → a ≤ b → a.toNNReal ≤ b.toNNReal- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealstatement · cited by 4,310
- ENNReal.toNNRealstatement · cited by 165
- ENNReal.toReal_monoproof · cited by 59
Cited by10
Results whose statement or proof uses this declaration.
- ENNReal.toReal_sub_of_leproof · cited by 6
- MeasureTheory.FiniteMeasure.apply_monoproof · cited by 5
- ENNReal.toNNReal_le_toNNRealproof · cited by 4
- isCompact_setOfPred_finiteMeasure_le_of_compactSpaceproof · cited by 3
- contentRegular_rieszContentproof · cited by 3
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- thickenedIndicator_mono_infEDistproof · cited by 1
- MeasureTheory.FiniteMeasure.apply_union_leproof · cited by 1
- MeasureTheory.lpNorm_mono_realproof · cited by 0
- ENNReal.le_toNNReal_of_coe_leproof · cited by 0