Theorems · Definition · real analysis
ENNReal.toReal
ENNReal → ℝ
toReal x returns x if it is real, 0 otherwise.
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 859 results in Mathlib
- Foundations
- Depth 105 from the axioms, rests on 1,987 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- NNReal.toRealproof · cited by 1,260
- ENNReal.toNNRealproof · cited by 165
Cited by886
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.realproof · cited by 530
- MeasureTheory.eLpNormproof · cited by 329
- ProbabilityTheory.varianceproof · cited by 104
- ENNReal.toReal_nonnegstatement · cited by 86
- ENNReal.toReal_ofRealstatement · cited by 82
- MeasureTheory.integral_constproof · cited by 75
- Metric.diamproof · cited by 74
- ENNReal.logproof · cited by 72
- Metric.infDistproof · cited by 68
- MeasureTheory.measureReal_defstatement · cited by 68
- ENNReal.ofReal_toRealstatement · cited by 65
- ENNReal.toReal_monostatement · cited by 59
Showing the 200 most cited of 886.