Theorems · Theorem · real analysis
Real.rpow_eq_nhds_of_neg
∀ {p : ℝ × ℝ},
p.1 < 0 → (fun x => x.1 ^ x.2) =ᶠ[nhds p] fun x => Real.exp (Real.log x.1 * x.2) * Real.cos (x.2 * Real.pi)- Cited by
- 1 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.
Cites14
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
- nhdsstatement and proof · cited by 5,554
- Filter.Eventuallyproof · cited by 3,134
- Filter.EventuallyEqstatement · cited by 1,912
- Real.pistatement and proof · cited by 1,774
- Real.logstatement and proof · cited by 939
- Real.expstatement and proof · cited by 871
- Filter.Eventually.monoproof · cited by 646
- Real.cosstatement and proof · cited by 424
- continuous_constproof · cited by 278
- continuous_fstproof · cited by 103
- IsOpen.eventually_memproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- Real.continuousAt_rpow_of_neproof · cited by 2