Theorems · Definition · real analysis
NNReal
Type
Nonnegative real numbers, denoted as ℝ≥0 within the NNReal namespace
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 4,310 results in Mathlib
- Foundations
- Depth 95 from the axioms, rests on 1,953 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
Cited by4,605
Results whose statement or proof uses this declaration.
- ENNRealproof · cited by 9,879
- ENNReal.ofNNRealstatement · cited by 1,279
- NNReal.toRealstatement · cited by 1,260
- NNNorm.nnnormstatement · cited by 952
- LipschitzWithstatement and proof · cited by 316
- Real.toNNRealstatement · cited by 267
- NNDist.nndiststatement · cited by 235
- NNReal.eqstatement and proof · cited by 201
- ENNReal.toNNRealstatement · cited by 165
- LipschitzOnWithstatement and proof · cited by 164
- FormalMultilinearSeries.radiusproof · cited by 150
- AntilipschitzWithstatement and proof · cited by 132
Showing the 200 most cited of 4,605.