diff --git a/theories/proofmode/class_instances.v b/theories/proofmode/class_instances.v
index b535887c0cedd905bba17d0bb0692169e82a5664..61013accb9a65a1a05267b79995015d3b711bda6 100644
--- a/theories/proofmode/class_instances.v
+++ b/theories/proofmode/class_instances.v
@@ -168,19 +168,19 @@ Proof. by rewrite /FromAlways. Qed.
 
 (* IntoLater *)
 Global Instance into_laterN_later n P Q :
-  IntoLaterN n P Q → IntoLaterN' (S n) (▷ P) Q.
+  IntoLaterN n P Q → IntoLaterN' (S n) (▷ P) Q | 0.
 Proof. by rewrite /IntoLaterN' /IntoLaterN =>->. Qed.
 Global Instance into_laterN_later_further n P Q :
-  IntoLaterN' n P Q → IntoLaterN' n (▷ P) (▷ Q).
+  IntoLaterN' n P Q → IntoLaterN' n (▷ P) (▷ Q) | 1000.
 Proof. rewrite /IntoLaterN' /IntoLaterN =>->. by rewrite -laterN_later. Qed.
 
-Global Instance into_laterN_laterN n P : IntoLaterN' n (â–·^n P) P.
+Global Instance into_laterN_laterN n P : IntoLaterN' n (â–·^n P) P | 0.
 Proof. done. Qed.
 Global Instance into_laterN_laterN_plus n m P Q :
-  IntoLaterN m P Q → IntoLaterN' (n + m) (▷^n P) Q.
+  IntoLaterN m P Q → IntoLaterN' (n + m) (▷^n P) Q | 1.
 Proof. rewrite /IntoLaterN' /IntoLaterN=>->. by rewrite laterN_plus. Qed.
 Global Instance into_laterN_laterN_further n m P Q :
-  IntoLaterN' m P Q → IntoLaterN' m (▷^n P) (▷^n Q).
+  IntoLaterN' m P Q → IntoLaterN' m (▷^n P) (▷^n Q) | 1000.
 Proof.
   rewrite /IntoLaterN' /IntoLaterN=>->. by rewrite -!laterN_plus Nat.add_comm.
 Qed.