(** Our equality is an equivalence relation. *)

(* Specifications: *)
Lemma eq_transitivity : forall l m n, l =l= m -> m =l= n -> l =l= n.
Lemma eq_reflexivity : forall l, l =l= l.
Lemma eq_symmetry : forall l m, l =l= m -> m =l= l.
Instance EqL_Equiv : Equivalence EqL.
Lemma eqp_transitivity : forall p q r, p =p= q -> q =p= r -> p =p= r.
Lemma eqp_reflexivity : forall p, p =p= p.
Lemma eqp_symmetry : forall p q, p =p= q -> q =p= p.
Instance EqP_Equiv : Equivalence EqP.