Theorems · Theorem · real analysis
Real.deriv_sqrt_aux
∀ {x : ℝ}, x ≠ 0 → HasStrictDerivAt (fun x => √x) (1 / (2 * √x)) x ∧ ∀ (n : WithTop ℕ∞), ContDiffAt ℝ n (fun x => √x) x- Defined in
- Mathlib.Analysis.SpecialFunctions.Sqrt
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
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
- nhdsproof · cited by 5,554
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- Filter.EventuallyEqproof · cited by 1,912
- LT.lt.ne'proof · cited by 1,417
- pow_oneproof · cited by 894
- OpenPartialHomeomorph.toFun'proof · cited by 745
- Filter.Eventually.monoproof · cited by 646
- one_divproof · cited by 624
Cited by2
Results whose statement or proof uses this declaration.
- Real.contDiffAt_sqrtproof · cited by 3
- Real.hasStrictDerivAt_sqrtproof · cited by 3