Theorems · Theorem · real analysis
Real.le_coe_toNNReal
∀ (r : ℝ), r ≤ ↑r.toNNReal
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 108 from the axioms · 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 and proof · cited by 25,697
- NNReal.toRealstatement · cited by 1,260
- Real.toNNRealstatement · cited by 267
- le_max_leftproof · cited by 215
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_of_ae_boundproof · cited by 6
- LipschitzWith.of_dist_le'proof · cited by 3
- MeasureTheory.eLpNormEssSup_le_of_ae_boundproof · cited by 3
- NormedSpace.equicontinuous_TFAEproof · cited by 2
- LipschitzOnWith.of_dist_le'proof · cited by 2
- MeasureTheory.Integrable.op_fst_sndproof · cited by 2
- NNReal.giproof · cited by 1
- MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mulproof · cited by 1
- Seminorm.IsBounded.of_realproof · cited by 0