Theorem: fderiv_clm_apply_const (ForML/ContinuousLinearMap.lean)

State before:
𝕜 : Type u_1
α : Type u_2
E : Type u_3
F : Type u_4
G : Type u_5
inst✝⁸ : NontriviallyNormedField 𝕜
inst✝⁷ : NormedAddCommGroup α
inst✝⁶ : NormedSpace 𝕜 α
inst✝⁵ : NormedAddCommGroup E
inst✝⁴ : NormedSpace 𝕜 E
inst✝³ : NormedAddCommGroup F
inst✝² : NormedSpace 𝕜 F
inst✝¹ : NormedAddCommGroup G
inst✝ : NormedSpace 𝕜 G
c : α → F →L[𝕜] G
v : F
x : α
hc : DifferentiableAt 𝕜 c x
⊢ fderiv 𝕜 (fun y => (c y) v) x = (ContinuousLinearMap.flip (fderiv 𝕜 c x)) v
Tactic:
simp [fderiv_clm_apply hc (differentiableAt_const v)]
State after:
no goals