Theorems · Theorem · measure theory

essInf_eq_iInf

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : CompleteLattice β],
  (∀ (a : α), μ {a} ≠ 0) → ∀ (f : α → β), essInf f μ = ⨅ i, f i

Defined in

Mathlib.MeasureTheory.Function.EssSup

Cited by

1 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompleteLattice