∀ {𝕜₁ : Type u_1} {𝕜₂ : Type u_2} {𝕜₃ : Type u_6} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂]
  [inst_2 : NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂} {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [inst_3 : RingHomCompTriple σ τ ρ]
  (E : Type u_3) {F : Type u_4} {G : Type u_5} [inst_4 : AddCommGroup E] [inst_5 : Module 𝕜₁ E]
  [inst_6 : AddCommGroup F] [inst_7 : Module 𝕜₂ F] [inst_8 : AddCommGroup G] [inst_9 : Module 𝕜₃ G]
  [inst_10 : TopologicalSpace E] [inst_11 : TopologicalSpace F] [inst_12 : TopologicalSpace G]
  [inst_13 : IsTopologicalAddGroup F] [inst_14 : IsTopologicalAddGroup G] [inst_15 : ContinuousConstSMul 𝕜₃ G]
  [inst_16 : ContinuousConstSMul 𝕜₂ F] (L : F →SL[τ] G)
  (x y : UniformConvergenceCLM σ F {S | Bornology.IsVonNBounded 𝕜₁ S}),
  (↑(ContinuousLinearMap.postcompUniformConvergenceCLM {S | Bornology.IsVonNBounded 𝕜₁ S} L)).toFun (x + y) =
    (↑(ContinuousLinearMap.postcompUniformConvergenceCLM {S | Bornology.IsVonNBounded 𝕜₁ S} L)).toFun x +
      (↑(ContinuousLinearMap.postcompUniformConvergenceCLM {S | Bornology.IsVonNBounded 𝕜₁ S} L)).toFun y