apply (MeasureTheory.ae_restrict_iff' measurableSet_Icc).mpr
a b : ℝ
⊢ ∀ᵐ (x : ℝ) ∂MeasureTheory.volume.restrict [[a, b]], ‖↑⌊x⌋‖ ≤ max ‖a‖ ‖b‖ + 1
a b : ℝ
⊢ ∀ᵐ (x : ℝ), x ∈ Icc (a ⊓ b) (a ⊔ b) → ‖↑⌊x⌋‖ ≤ max ‖a‖ ‖b‖ + 1