(** ** Union of relations *)

Definition rel_union {A B} (R1 R2: rel A B): rel A B :=
  fun x y => R1 x y \/ R2 x y.Infix "\/" := rel_union : rel_scope.Global Instance rel_union_subrel_params:
  Params (@rel_union) 4.

Lemma rel_union_sym {A} (R1 R2: rel A A): Symmetric R1 -> Symmetric R2 -> Symmetric (R1 \/ R2).