Add lemma `list_to_set_finite`.

theories/sets.v

@@ -1108,6 +1108,8 @@ Section set_finite_infinite.
   Proof. intros [l ?]; exists l; set_solver. Qed.
   Lemma union_finite_inv_r X Y : set_finite (X ∪ Y) → set_finite Y.
   Proof. intros [l ?]; exists l; set_solver. Qed.
+  Lemma list_to_set_finite l : set_finite (list_to_set (C:=C) l).
+  Proof. exists l. intros x. by rewrite elem_of_list_to_set. Qed.
 
   Global Instance set_infinite_subseteq :
     Proper ((⊆) ==> impl) (@set_infinite A C _).