Theorems · Theorem · real analysis
Real.toNNReal_le_toNNReal_iff_of_pos
∀ {r p : ℝ}, 0 < r → (r.toNNReal ≤ p.toNNReal ↔ r ≤ p)- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 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
- LT.lt.not_geproof · cited by 305
- Real.toNNRealstatement · cited by 267
Cited by1
Results whose statement or proof uses this declaration.
- Real.one_le_toNNRealproof · cited by 0