∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : StarRing 𝕜] {E : Type u_2} [inst_2 : NormedAddCommGroup E]
  [inst_3 : NormedSpace 𝕜 E] {F : Type u_3} [inst_4 : NormedAddCommGroup F] [inst_5 : StarAddMonoid F]
  [inst_6 : NormedSpace 𝕜 F] [inst_7 : StarModule 𝕜 F] [inst_8 : ContinuousStar F] [inst_9 : StarAddMonoid E]
  [inst_10 : StarModule 𝕜 E] [inst_11 : ContinuousStar E] [NormedStarGroup 𝕜] {f : E → F} {z : E} {f' : E →L[𝕜] F},
  HasFDerivAt f f' z → HasFDerivAt (star ∘ f ∘ star) ((↑(starL 𝕜)).comp (f'.comp ↑(starL 𝕜))) (star z)