Theorems · Theorem · real analysis

ENNReal.ofReal_limsup

∀ {α : Type u_1} {f : Filter α} {u : α → ℝ},
  autoParam (Filter.IsCoboundedUnder (fun x1 x2 => x1 ≤ x2) f u) ENNReal.ofReal_limsup._auto_1 →
    autoParam (Filter.IsBoundedUnder (fun x1 x2 => x1 ≤ x2) f u) ENNReal.ofReal_limsup._auto_3 →
      ENNReal.ofReal (Filter.limsup u f) = Filter.limsup (fun a => ENNReal.ofReal (u a)) f

Defined in

Mathlib.Order.Filter.ENNReal

Cited by

2 results in Mathlib

Foundations

Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound