HepLean Documentation

Mathlib.Data.ENNReal.Lemmas

Some lemmas on extended non-negative reals #

These are some lemmas split off from ENNReal.Basic because they need a lot more imports. They are probably good targets for further cleanup or moves.

@[simp]
theorem ENNReal.coe_indicator {α : Type u_2} (s : Set α) (f : αNNReal) (a : α) :
(s.indicator f a) = s.indicator (fun (x : α) => (f x)) a
@[simp]
theorem ENNReal.coe_finset_sup {α : Type u_1} {s : Finset α} {f : αNNReal} :
(s.sup f) = s.sup fun (x : α) => (f x)