diff --git a/algebra/cmra.v b/algebra/cmra.v
index a388fc743e13b18b44abb721d60e912c754d373b..76bd0e9db2a71be771e0f65ea1db8b5d9cb4354a 100644
--- a/algebra/cmra.v
+++ b/algebra/cmra.v
@@ -504,8 +504,6 @@ Section ucmra.
   Context {A : ucmraT}.
   Implicit Types x y z : A.
 
-  Global Instance ucmra_unit_inhabited : Inhabited A := populate ∅.
-
   Lemma ucmra_unit_validN n : ✓{n} (∅:A).
   Proof. apply cmra_valid_validN, ucmra_unit_valid. Qed.
   Lemma ucmra_unit_leastN n x : ∅ ≼{n} x.
diff --git a/prelude/base.v b/prelude/base.v
index b046cf8e814a59f69444b04f98611140c266b996..370621e1054bd56d509a833e22f8de34345a81b3 100644
--- a/prelude/base.v
+++ b/prelude/base.v
@@ -567,6 +567,8 @@ intersection [(∩)], and difference [(∖)], the singleton [{[_]}], the subset
 Class Empty A := empty: A.
 Notation "∅" := empty : C_scope.
 
+Instance empty_inhabited `(Empty A) : Inhabited A := populate ∅.
+
 Class Top A := top : A.
 Notation "⊤" := top : C_scope.
 
diff --git a/proofmode/weakestpre.v b/proofmode/weakestpre.v
index 91dd17e2c89d2136fb10cb9dfec0c1373dc61dad..6f0b1bb4af885f76c0b1ef8c2c4cc863173b8f8c 100644
--- a/proofmode/weakestpre.v
+++ b/proofmode/weakestpre.v
@@ -30,7 +30,7 @@ Proof. by rewrite /ElimVs pvs_frame_r wand_elim_r pvs_wp. Qed.
 (* lower precedence, if possible, it should always pick elim_vs_pvs_wp *)
 Global Instance elim_vs_pvs_wp_atomic E1 E2 e P Φ :
   atomic e →
-  ElimVs (|={E1,E2}=> P) P 
+  ElimVs (|={E1,E2}=> P) P
          (WP e @ E1 {{ Φ }}) (WP e @ E2 {{ v, |={E2,E1}=> Φ v }})%I | 100.
 Proof. intros. by rewrite /ElimVs pvs_frame_r wand_elim_r wp_atomic. Qed.
 End weakestpre.