Theorems · Theorem · real analysis
deriv_div_const
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} {𝕜' : Type u_2} [inst_1 : NormedDivisionRing 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {c : 𝕜 → 𝕜'} (d : 𝕜'), deriv (fun x => c x / d) x = deriv c x / d- Defined in
- Mathlib.Analysis.Calculus.Deriv.Mul
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NormedAlgebrastatement and proof · cited by 1,165
- div_eq_mul_invproof · cited by 715
- derivstatement and proof · cited by 676
- NormedDivisionRingstatement and proof · cited by 360
- deriv_mul_const_fieldproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integral_id_gaussianRealproof · cited by 6
- Real.sin_gt_sub_cubeproof · cited by 2
- taylor_integral_remainder_auxproof · cited by 2
- ProbabilityTheory.variance_fun_id_gaussianRealproof · cited by 1
- Polynomial.deriv_gaussian_eq_hermite_mul_gaussianproof · cited by 1
- logDeriv_sineTerm_eq_cotTermproof · cited by 1