Theorems · Theorem · real analysis
ENNReal.ofReal_lt_ofReal_iff_of_nonneg
∀ {p q : ℝ}, 0 ≤ p → (ENNReal.ofReal p < ENNReal.ofReal q ↔ p < q)- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ENNRealstatement and proof · cited by 9,879
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement and proof · cited by 863
- Real.toNNRealproof · cited by 267
- ENNReal.coe_lt_coeproof · cited by 44
- Real.toNNReal_lt_toNNReal_iff_of_nonnegproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Metric.eball_ofRealproof · cited by 5
- edist_lt_ofRealproof · cited by 1