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+Require Import Ltac2.Ltac2.
+
+Axiom f: nat -> nat.
+Definition g := f.
+
+Axiom Foo1: nat -> Prop.
+Axiom Foo2: nat -> Prop.
+Axiom Impl: forall n: nat, Foo1 (f n) -> Foo2 (f n).
+
+Create HintDb foo discriminated.
+#[export] Hint Constants Opaque : foo.
+#[export] Hint Resolve Impl : foo.
+
+Goal forall x, Foo1 (f x) -> Foo2 (g x).
+Proof.
+  auto with foo.
+  #[export] Hint Transparent g : foo.
+  auto with foo.
+Qed.
+
+Goal forall (x: nat), exists y, f x = g y.
+Proof.
+  intros.
+  eexists.
+  unify f g.
+  lazy_match! goal with
+  | [ |- ?a ?b = ?rhs ] => unify ($a $b) $rhs
+  end.
+Abort.