Theorems · Theorem · measure theory

measurableSet_bddAbove_range

∀ {α : Type u_1} {δ : Type u_4} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [BorelSpace α]
  {mδ : MeasurableSpace δ} [inst_2 : LinearOrder α] [OrderTopology α] [SecondCountableTopology α] {ι : Sort u_5}
  [Countable ι] {f : ι → δ → α}, (∀ (i : ι), Measurable (f i)) → MeasurableSet {b | BddAbove (Set.range fun i => f i b)}

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Order

Cited by

2 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceBorelSpaceLinearOrderOrderTopologySecondCountableTopologyCountable