Theorems · Theorem · real analysis
NNReal.continuousAt_rpow_const
∀ {x : NNReal} {y : ℝ}, x ≠ 0 ∨ 0 ≤ y → ContinuousAt (fun z => z ^ y) x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 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
- NNRealstatement and proof · cited by 4,310
- ContinuousAtstatement and proof · cited by 697
- tendsto_const_nhdsproof · cited by 330
- LE.le.eq_or_ltproof · cited by 220
- Filter.tendsto_idproof · cited by 180
- NNReal.rpow_zeroproof · cited by 20
- Filter.Tendsto.nnrpowproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_eLpNorm_indicator_leproof · cited by 3
- NNReal.continuous_rpow_constproof · cited by 2
- NNReal.continuousOn_rpow_const_compl_zeroproof · cited by 1