exact (IntegrableAtFilter.sup_iff.mpr h.1).filter_mono cocompact_le_atBot_atTop
case mpr
X : Type u_1
E : Type u_2
inst✝⁴ : MeasurableSpace X
inst✝³ : TopologicalSpace X
inst✝² : NormedAddCommGroup E
f : X → E
μ : Measure X
inst✝¹ : LinearOrder X
inst✝ : CompactIccSpace X
h : (IntegrableAtFilter f atBot μ ∧ IntegrableAtFilter f atTop μ) ∧ LocallyIntegrable f μ
⊢ IntegrableAtFilter f (cocompact X) μ
no goals