Theorems · Theorem · real analysis
ENNReal.zero_rpow_of_neg
∀ {y : ℝ}, y < 0 → 0 ^ y = ⊤- Cited by
- 12 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.
Cites8
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.topstatement and proof · cited by 9,680
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.coe_zeroproof · cited by 13
- NNReal.rpowproof · cited by 5
- ENNReal.some_eq_coeproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- ENNReal.rpow_mulproof · cited by 33
- ENNReal.rpow_negproof · cited by 6
- ENNReal.mul_rpow_eq_iteproof · cited by 5
- MeasureTheory.Measure.hausdorffMeasure_zero_or_topproof · cited by 3
- ENNReal.inv_rpowproof · cited by 3
- ENNReal.zero_rpow_defproof · cited by 2
- ENNReal.toNNReal_rpowproof · cited by 2
- ENNReal.rpow_eq_top_iffproof · cited by 1
- ENNReal.rpow_le_rpow_of_exponent_geproof · cited by 1
- MeasureTheory.eLpNorm'_zero'proof · cited by 1
- ENNReal.rpow_eq_zero_iffproof · cited by 0
- MeasureTheory.eLpNorm'_measure_zero_of_negproof · cited by 0