Theorems · Theorem · real analysis
Real.continuousAt_rpow_of_ne
∀ (p : ℝ × ℝ), p.1 ≠ 0 → ContinuousAt (fun p => p.1 ^ p.2) p
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Real.piproof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- LT.lt.neproof · cited by 872
- ContinuousAtstatement · cited by 697
- Continuous.continuousAtproof · cited by 297
- continuous_fstproof · cited by 103
- continuous_sndproof · cited by 91
- ContinuousAt.compproof · cited by 56
- continuousAt_id'proof · cited by 44
- ContinuousAt.comp'proof · cited by 23
- ContinuousAt.mulproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- Real.continuousAt_rpowproof · cited by 3
- Real.continuousAt_rpow_of_posproof · cited by 1