Theorems · Theorem · real analysis
NNReal.rpow_lt_rpow
∀ {x y : NNReal} {z : ℝ}, x < y → 0 < z → x ^ z < y ^ z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 198 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
- NNRealstatement and proof · cited by 4,310
- Real.rpow_lt_rpowproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.strictMono_rpow_of_posproof · cited by 7
- NNReal.rpow_posproof · cited by 3
- NNReal.strictMono_rpow_of_posproof · cited by 2