Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.finset_sup_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : SemilatticeSup β]
  [inst_2 : OrderBot β] {f : γ → MeasureTheory.SimpleFunc α β} (s : Finset γ) (a : α),
  (s.sup f) a = s.sup fun c => (f c) a

Defined in

Mathlib.MeasureTheory.Function.SimpleFunc

Cited by

2 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceSemilatticeSupOrderBot