Theorems · Theorem · real analysis
ENNReal.rpow_zero
∀ {x : ENNReal}, x ^ 0 = 1- Cited by
- 47 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 · 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
- ENNReal.recTopCoeproof · cited by 48
- NNReal.rpow_zeroproof · cited by 20
- NNReal.rpowproof · cited by 5
Cited by47
Results whose statement or proof uses this declaration.
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- ENNReal.rpow_mulproof · cited by 33
- ENNReal.rpow_natCastproof · cited by 18
- ENNReal.ofReal_rpow_of_nonnegproof · cited by 13
- ENNReal.rpow_negproof · cited by 6
- ENNReal.continuous_rpow_constproof · cited by 5
- MeasureTheory.eLpNorm_constproof · cited by 5
- MeasureTheory.Measure.hausdorffMeasure_zero_singletonproof · cited by 5
- ENNReal.mul_rpow_eq_iteproof · cited by 5
- ENNReal.log_rpowproof · cited by 4
- ENNReal.inv_rpowproof · cited by 3
- MeasureTheory.eLpNorm_indicator_const_leproof · cited by 3