Theorems · Theorem · real analysis
Real.toNNReal_le_toNNReal
∀ {r p : ℝ}, r ≤ p → r.toNNReal ≤ p.toNNReal- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 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
- NNRealstatement · cited by 4,310
- Real.toNNRealstatement · cited by 267
- Real.toNNReal_monoproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_le_ofRealproof · cited by 61
- Real.sqrt_le_sqrtproof · cited by 5