diff --git a/iris/base_logic/upred.v b/iris/base_logic/upred.v
index d2b54213a97eeb5a64c4312515d0c7780dbc13b0..6df52f94e3d0f32a7dd6976311b4380557e494b5 100644
--- a/iris/base_logic/upred.v
+++ b/iris/base_logic/upred.v
@@ -435,6 +435,8 @@ Implicit Types A : Type.
 Local Arguments uPred_holds {_} !_ _ _ /.
 Local Hint Immediate uPred_in_entails : core.
 
+(** The notations below are implicitly local due to the section, so we do not
+mind the overlap with the general BI notations. *)
 Notation "P ⊢ Q" := (@uPred_entails M P%I Q%I) : stdpp_scope.
 Notation "(⊢)" := (@uPred_entails M) (only parsing) : stdpp_scope.
 Notation "P ⊣⊢ Q" := (@uPred_equiv M P%I Q%I) : stdpp_scope.
diff --git a/iris/si_logic/siprop.v b/iris/si_logic/siprop.v
index dc7fef0a597200e7e29046dc63e1407dc98dc5f4..fa9af40b44ca7b0fe389c534ecfc6c03ae464bf7 100644
--- a/iris/si_logic/siprop.v
+++ b/iris/si_logic/siprop.v
@@ -128,6 +128,8 @@ Ltac unseal := rewrite !unseal_eqs /=.
 Section primitive.
 Local Arguments siProp_holds !_ _ /.
 
+(** The notations below are implicitly local due to the section, so we do not
+mind the overlap with the general BI notations. *)
 Notation "P ⊢ Q" := (siProp_entails P Q).
 Notation "'True'" := (siProp_pure True) : bi_scope.
 Notation "'False'" := (siProp_pure False) : bi_scope.