Theorems · Theorem · real analysis
ENNReal.ofReal_le_of_le_toReal
∀ {a : ℝ} {b : ENNReal}, a ≤ b.toReal → ENNReal.ofReal a ≤ b- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 129 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.
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- LE.le.transproof · cited by 3,151
- ENNReal.ofRealstatement · cited by 863
- ENNReal.toRealstatement and proof · cited by 859
- ENNReal.ofReal_le_ofRealproof · cited by 61
- ENNReal.ofReal_toReal_leproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Real.ediam_eqproof · cited by 4
- MonotoneOn.eVariationOn_eqproof · cited by 4
- MeasureTheory.integral_le_measureproof · cited by 2
- MeasureTheory.VectorMeasure.edist_integral_le_lintegral_edistproof · cited by 0
- MeasureTheory.edist_integral_le_lintegral_edistproof · cited by 0