fact: Definition sig_apart `{Apart A} (P: A → Prop) : Apart (sig P) := λ x y, `x ≶ `y.
imports: MathClasses.theory.CoqStreams Coq.Classes.Morphisms Coq.Setoids.Setoid Coq.Program.Program Coq.Unicode.Utf8 Coq.Unicode.Utf8_core MathClasses.misc.stdlib_hints