diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7722b8e7ad195b3f115b4407f1c89fca4f980d92..ceefd450274d1a8a95d95197423253f399bc32e5 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -30,6 +30,9 @@ lemma.
   - Add `frac_auth_frag_op_validN` and `frac_auth_frag_op_valid`, which are
     bi-implications with arbitrary fractions.
   - Add `ufrac_auth_frag_op_validN` and `ufrac_auth_frag_op_valid`.
+* Remove `mono_list_lb_is_op` instance for `IsOp' (â—¯ML l) (â—¯ML l) (â—¯ML l)`; we
+  don't usually have such instances for duplicable resources and it was added by
+  accident.
 
 **Changes in `bi`:**
 
diff --git a/iris/algebra/lib/mono_list.v b/iris/algebra/lib/mono_list.v
index 9aa8503549ff780be34fb3afae869ed8a4d47b5e..9f453595c80555571797f69b93b30e977d3ba15b 100644
--- a/iris/algebra/lib/mono_list.v
+++ b/iris/algebra/lib/mono_list.v
@@ -70,8 +70,9 @@ Section mono_list_props.
     by rewrite /mono_list_auth /mono_list_lb -!assoc -auth_frag_op -core_id_dup.
   Qed.
 
-  Global Instance mono_list_lb_is_op l : IsOp' (â—¯ML l) (â—¯ML l) (â—¯ML l).
-  Proof. by rewrite /IsOp' /IsOp -core_id_dup. Qed.
+  Global Instance mono_list_auth_dfrac_is_op dq dq1 dq2 l :
+    IsOp dq dq1 dq2 → IsOp' (●ML{dq} l) (●ML{dq1} l) (●ML{dq2} l).
+  Proof. rewrite /IsOp' /IsOp=> ->. rewrite mono_list_auth_dfrac_op //. Qed.
 
   (** * Validity *)
   Lemma mono_list_auth_dfrac_validN n dq l : ✓{n} (●ML{dq} l) ↔ ✓ dq.
diff --git a/iris/algebra/lib/mono_nat.v b/iris/algebra/lib/mono_nat.v
index a30056d162e313e723c9a6f4bc5d2e30057255e3..100b000b719de0642aba214f121df81e184da8fe 100644
--- a/iris/algebra/lib/mono_nat.v
+++ b/iris/algebra/lib/mono_nat.v
@@ -55,6 +55,13 @@ Section mono_nat.
     rewrite Nat.max_id //.
   Qed.
 
+  Global Instance mono_nat_auth_dfrac_is_op dq dq1 dq2 n :
+    IsOp dq dq1 dq2 → IsOp' (●MN{dq} n) (●MN{dq1} n) (●MN{dq2} n).
+  Proof. rewrite /IsOp' /IsOp=> ->. rewrite mono_nat_auth_dfrac_op //. Qed.
+  Global Instance mono_nat_lb_max_is_op n n1 n2 :
+    IsOp (MaxNat n) (MaxNat n1) (MaxNat n2) → IsOp' (◯MN n) (◯MN n1) (◯MN n2).
+  Proof. rewrite /IsOp' /IsOp /mono_nat_lb=> ->. done. Qed.
+
   (** rephrasing of [mono_nat_lb_op] useful for weakening a fragment to a
   smaller lower-bound *)
   Lemma mono_nat_lb_op_le_l n n' :