Theorems · Theorem · real analysis
logDeriv_mul_const
∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {f : 𝕜 → 𝕜'} (x : 𝕜) (a : 𝕜'), a ≠ 0 → logDeriv (fun z => f z * a) x = logDeriv f x- Defined in
- Mathlib.Analysis.Calculus.LogDeriv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- derivproof · cited by 676
- logDerivstatement · cited by 71
- mul_div_mul_rightproof · cited by 16
- deriv_mul_const_fieldproof · cited by 4
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