Mul Operator add ge

lemma mulOperator_add_ge (μ : Measure (Space d)) (f g : Space d → ℂ) :    𝓜 μ f + 𝓜 μ g ≤ 𝓜 μ (f + g) := by  refine le_of_le_graph fun u h ↦ ?_  rw [mem_graph_iff] at *  obtain ⟨⟨v, hv⟩, hvu, hvu'⟩ := h  have hv' : v ∈ (𝓜 μ (f + g)).domain := by    rw [add_domain, Submodule.mem_inf] at hv    simpa [add_mul, mem_mulOperator_domain_iff] using hv.1.add hv.2  refine ⟨⟨v, hv'⟩, hvu, ?_⟩  rw [← hvu', ext_iff]  change _ =ᵐ[μ] 𝓜 μ f ⟨v, hv.1⟩ + 𝓜 μ g ⟨v, hv.2⟩  filter_upwards [mulOperator_apply_ae ⟨v, hv.1⟩, mulOperator_apply_ae ⟨v, hv.2⟩,    mulOperator_apply_ae ⟨v, hv'⟩, coeFn_add (𝓜 μ f ⟨v, hv.1⟩) (𝓜 μ g ⟨v, hv.2⟩)]  simp_all [add_mul]