Theorem: fderiv_apply_eq_sum_fderiv_apply_single (ForML/IndexDeriv.lean)

State before:
ι : Type u_1
𝕜 : Type u_2
inst✝⁸ : Fintype ι
inst✝⁷ : DecidableEq ι
inst✝⁶ : NontriviallyNormedField 𝕜
E : Type u_3
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
M : ι → Type u_4
inst✝³ : (i : ι) → NormedAddCommGroup (M i)
inst✝² : (i : ι) → NormedSpace 𝕜 (M i)
F : Type u_5
inst✝¹ : NormedAddCommGroup F
inst✝ : NormedSpace 𝕜 F
f : ((i : ι) → M i) → F
x m : (i : ι) → M i
⊢ (fderiv 𝕜 f x) m = ∑ i : ι, (fderiv 𝕜 f x) (Pi.single i (m i))
Tactic:
conv => lhs; rw [fderiv_eq_copi_fderiv_comp_single]
State after:
no goals