Theorems · Theorem · real analysis
Real.toNNReal_le_one
∀ {r : ℝ}, r.toNNReal ≤ 1 ↔ r ≤ 1- 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.
Cites6
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
- zero_le_oneproof · cited by 316
- Real.toNNRealstatement and proof · cited by 267
- Real.toNNReal_oneproof · cited by 13
- Real.toNNReal_le_toNNReal_iffproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_le_oneproof · cited by 1
- Real.one_lt_toNNRealproof · cited by 1