Theorems · Theorem · real analysis
ENNReal.ofReal_rpow_of_pos
∀ {x p : ℝ}, 0 < x → ENNReal.ofReal x ^ p = ENNReal.ofReal (x ^ p)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NNRealproof · cited by 4,310
- LT.lt.leproof · cited by 2,189
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement · cited by 863
- Real.toNNRealproof · cited by 267
- ENNReal.coe_injproof · cited by 26
- ENNReal.coe_rpow_of_ne_zeroproof · cited by 20
- Real.toNNReal_rpow_of_nonnegproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_rpow_of_nonnegproof · cited by 13
- HasCompactSupport.exist_eLpNorm_sub_le_of_continuousproof · cited by 1
- MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_leproof · cited by 1
- MeasureTheory.unifIntegrable_of'proof · cited by 1
- MeasureTheory.eLpNorm_indicator_le_of_boundproof · cited by 1