Theorems · Theorem · real analysis
NNReal.continuousAt_rpow
∀ {x : NNReal} {y : ℝ}, x ≠ 0 ∨ 0 < y → ContinuousAt (fun p => p.1 ^ p.2) (x, y)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Continuous.continuousAtproof · cited by 297
- Real.toNNRealproof · cited by 267
- NNReal.eqproof · cited by 201
- continuous_subtype_valproof · cited by 159
- NNReal.coe_nonnegproof · cited by 130
- Real.rpow_nonnegproof · cited by 111
- ContinuousAt.compproof · cited by 56
- continuousAt_id'proof · cited by 44
- ContinuousAt.comp'proof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- Filter.Tendsto.nnrpowproof · cited by 1