Theorems · Theorem · real analysis
ENNReal.zero_rpow_of_pos
∀ {y : ℝ}, 0 < y → 0 ^ y = 0- Cited by
- 36 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ne_of_gtproof · cited by 637
- NNReal.zero_rpowproof · cited by 16
- ENNReal.coe_zeroproof · cited by 13
- asymmproof · cited by 12
- NNReal.rpowproof · cited by 5
- ENNReal.some_eq_coeproof · cited by 3
Cited by36
Results whose statement or proof uses this declaration.
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- ENNReal.rpow_mulproof · cited by 33
- MeasureTheory.eLpNorm_measure_zeroproof · cited by 13
- ENNReal.ofReal_rpow_of_nonnegproof · cited by 13
- MeasureTheory.eLpNorm_indicator_eq_eLpNorm_restrictproof · cited by 8
- ENNReal.rpow_negproof · cited by 6
- MeasureTheory.Measure.nullSingletonClass_hausdorffproof · cited by 5
- MeasureTheory.eLpNorm'_zeroproof · cited by 5
- ENNReal.mul_rpow_eq_iteproof · cited by 5
- ENNReal.log_rpowproof · cited by 4
- MeasureTheory.meas_ge_le_mul_pow_eLpNorm_enormproof · cited by 4
- ENNReal.inv_rpowproof · cited by 3