Theorems · Theorem · real analysis
ENNReal.rpow_lt_rpow
∀ {x y : ENNReal} {z : ℝ}, x < y → 0 < z → x ^ z < y ^ z- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.strictMono_rpow_of_posproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.hausdorffMeasure_zero_or_topproof · cited by 3
- ENNReal.rpow_pos_of_nonnegproof · cited by 2