Theorems · Theorem · real analysis
hasDerivAt_mul_const
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} (c : 𝕜), HasDerivAt (fun x => x * c) c x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Mul
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
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
- one_mulproof · cited by 2,841
- HasDerivAtstatement · cited by 493
- HasDerivAt.congr_simpproof · cited by 82
- hasDerivAt_id'proof · cited by 13
- HasDerivAt.mul_constproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- IsIntegralCurveOn.comp_mulproof · cited by 3
- hasDerivAt_fourierproof · cited by 2
- integral_cos_mul_complexproof · cited by 1
- Real.hasDerivAt_Gamma_one_halfproof · cited by 1
- Convex.taylor_approx_two_segmentproof · cited by 1
- EulerSine.antideriv_cos_comp_const_mulproof · cited by 1
- EulerSine.antideriv_sin_comp_const_mulproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_singleproof · cited by 1
- jacobiTheta₂'_functional_equationproof · cited by 1
- MeasureTheory.integral_charFun_Iccproof · cited by 1