Theorems · Theorem · real analysis
ENNReal.toNNReal_rpow
∀ (x : ENNReal) (z : ℝ), (x ^ z).toNNReal = x.toNNReal ^ z
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Top.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- le_of_ltproof · cited by 1,175
- lt_trichotomyproof · cited by 178
- ENNReal.toNNRealstatement and proof · cited by 165
- ENNReal.recTopCoeproof · cited by 48
- ENNReal.rpow_zeroproof · cited by 47
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- ENNReal.top_rpow_of_posproof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.toReal_rpowproof · cited by 12
- ENNReal.rpow_arith_mean_le_arith_mean_rpowproof · cited by 1