diff --git a/iris/algebra/lib/mono_list.v b/iris/algebra/lib/mono_list.v
index 68177aa6991e39ca6ff676caab255747c4ec9668..5c9b0c0391893a695401ffe94bb784fef10eae9c 100644
--- a/iris/algebra/lib/mono_list.v
+++ b/iris/algebra/lib/mono_list.v
@@ -70,7 +70,7 @@ Section mono_list_props.
 
   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.
+  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 4c562117fdf626df0e629964d63e368c0d2d32c7..eb437971c790a01018aa1f14b3887026681075ec 100644
--- a/iris/algebra/lib/mono_nat.v
+++ b/iris/algebra/lib/mono_nat.v
@@ -55,10 +55,10 @@ Section mono_nat.
 
   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.
+  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.
+  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 *)