∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : ConditionallyCompleteLinearOrder β] {x : β} {f : α → β},
  x < essInf f μ →
    autoParam (Filter.IsBoundedUnder (fun x1 x2 => x1 ≥ x2) (MeasureTheory.ae μ) f) ae_lt_of_lt_essInf._auto_1 →
      ∀ᵐ (y : α) ∂μ, x < f y