Theorems · Theorem · real analysis
deriv_const_mul_id
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} (c : 𝕜), deriv (fun y => c * y) x = c- Defined in
- Mathlib.Analysis.Calculus.Deriv.Mul
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 187 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
- mul_oneproof · cited by 3,885
- derivstatement · cited by 676
- deriv_id''proof · cited by 22
- differentiableAt_fun_idproof · cited by 10
- deriv_const_mulproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ModularForm.logDeriv_qParamproof · cited by 1
- Real.hasDerivAt_Gamma_one_halfproof · cited by 1
- logDeriv_sin_div_eq_cotproof · cited by 1
- deriv_const_mul_id'proof · cited by 0