Theorems · Theorem · real analysis
Real.continuousAt_rpow
∀ (p : ℝ × ℝ), p.1 ≠ 0 ∨ 0 < p.2 → ContinuousAt (fun p => p.1 ^ p.2) p
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- ContinuousAtstatement · cited by 697
- Real.continuousAt_rpow_of_neproof · cited by 2
- Real.continuousAt_rpow_of_posproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Real.continuousAt_rpow_constproof · cited by 8
- Filter.Tendsto.rpowproof · cited by 4
- NNReal.continuousAt_rpowproof · cited by 1