Theorems · Theorem · real analysis
expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul
∀ (p : Polynomial ℝ) (x : ℝ),
HasDerivAt (fun x => Polynomial.eval x⁻¹ p * expNegInvGlue x)
(Polynomial.eval x⁻¹ (Polynomial.X ^ 2 * (p - Polynomial.derivative p)) * expNegInvGlue x) x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites52
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupproof · cited by 12,871
- LinearMapstatement · cited by 10,215
- NontriviallyNormedFieldproof · cited by 8,742
- Polynomialstatement and proof · cited by 5,681
- mul_oneproof · cited by 3,885
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
Cited by2
Results whose statement or proof uses this declaration.
- expNegInvGlue.differentiable_polynomial_eval_inv_mulproof · cited by 2
- expNegInvGlue.contDiff_polynomial_eval_inv_mulproof · cited by 1