diff --git a/fs/autofs4/dev-ioctl.c b/fs/autofs4/dev-ioctl.c
index c7fcc74..0024e25 100644
--- a/fs/autofs4/dev-ioctl.c
+++ b/fs/autofs4/dev-ioctl.c
@@ -564,7 +564,7 @@ static int autofs_dev_ioctl_ismountpoint(struct file *fp,
 
 		devid = new_encode_dev(dev);
 
-		err = have_submounts(path.dentry);
+		err = have_local_submounts(path.dentry);
 
 		if (follow_down_one(&path))
 			magic = path.dentry->d_sb->s_magic;
diff --git a/fs/autofs4/expire.c b/fs/autofs4/expire.c
index d8e6d42..7cc34ef 100644
--- a/fs/autofs4/expire.c
+++ b/fs/autofs4/expire.c
@@ -236,7 +236,7 @@ static int autofs4_tree_busy(struct vfsmount *mnt,
 		 * count for the autofs dentry.
 		 * If the fs is busy update the expiry counter.
 		 */
-		if (d_mountpoint(p)) {
+		if (is_local_mountpoint(p)) {
 			if (autofs4_mount_busy(mnt, p)) {
 				top_ino->last_used = jiffies;
 				dput(p);
@@ -280,7 +280,7 @@ static struct dentry *autofs4_check_leaves(struct vfsmount *mnt,
 	while ((p = get_next_positive_dentry(p, parent))) {
 		pr_debug("dentry %p %pd\n", p, p);
 
-		if (d_mountpoint(p)) {
+		if (is_local_mountpoint(p)) {
 			/* Can we umount this guy */
 			if (autofs4_mount_busy(mnt, p))
 				continue;
diff --git a/fs/autofs4/root.c b/fs/autofs4/root.c
index fa84bb8..4150ad6 100644
--- a/fs/autofs4/root.c
+++ b/fs/autofs4/root.c
@@ -123,7 +123,7 @@ static int autofs4_dir_open(struct inode *inode, struct file *file)
 	 * it.
 	 */
 	spin_lock(&sbi->lookup_lock);
-	if (!d_mountpoint(dentry) && simple_empty(dentry)) {
+	if (!is_local_mountpoint(dentry) && simple_empty(dentry)) {
 		spin_unlock(&sbi->lookup_lock);
 		return -ENOENT;
 	}
@@ -370,28 +370,28 @@ static struct vfsmount *autofs4_d_automount(struct path *path)
 
 	/*
 	 * If the dentry is a symlink it's equivalent to a directory
-	 * having d_mountpoint() true, so there's no need to call back
-	 * to the daemon.
+	 * having is_local_mountpoint() true, so there's no need to
+	 * call back to the daemon.
 	 */
 	if (d_really_is_positive(dentry) && d_is_symlink(dentry)) {
 		spin_unlock(&sbi->fs_lock);
 		goto done;
 	}
 
-	if (!d_mountpoint(dentry)) {
+	if (!is_local_mountpoint(dentry)) {
 		/*
 		 * It's possible that user space hasn't removed directories
 		 * after umounting a rootless multi-mount, although it
-		 * should. For v5 have_submounts() is sufficient to handle
-		 * this because the leaves of the directory tree under the
-		 * mount never trigger mounts themselves (they have an autofs
-		 * trigger mount mounted on them). But v4 pseudo direct mounts
-		 * do need the leaves to trigger mounts. In this case we
-		 * have no choice but to use the list_empty() check and
-		 * require user space behave.
+		 * should. For v5 have_local_submounts() is sufficient to
+		 * handle this because the leaves of the directory tree under
+		 * the mount never trigger mounts themselves (they have an
+		 * autofs trigger mount mounted on them). But v4 pseudo
+		 * direct mounts do need the leaves to trigger mounts. In
+		 * this case we have no choice but to use the list_empty()
+		 * check and require user space behave.
 		 */
 		if (sbi->version > 4) {
-			if (have_submounts(dentry)) {
+			if (have_local_submounts(dentry)) {
 				spin_unlock(&sbi->fs_lock);
 				goto done;
 			}
@@ -431,7 +431,7 @@ static int autofs4_d_manage(struct dentry *dentry, bool rcu_walk)
 
 	/* The daemon never waits. */
 	if (autofs4_oz_mode(sbi)) {
-		if (!d_mountpoint(dentry))
+		if (!is_local_mountpoint(dentry))
 			return -EISDIR;
 		return 0;
 	}
@@ -460,7 +460,7 @@ static int autofs4_d_manage(struct dentry *dentry, bool rcu_walk)
 
 		if (ino->flags & AUTOFS_INF_WANT_EXPIRE)
 			return 0;
-		if (d_mountpoint(dentry))
+		if (is_local_mountpoint(dentry))
 			return 0;
 		inode = d_inode_rcu(dentry);
 		if (inode && S_ISLNK(inode->i_mode))
@@ -487,7 +487,7 @@ static int autofs4_d_manage(struct dentry *dentry, bool rcu_walk)
 		 * we can avoid needless calls ->d_automount() and avoid
 		 * an incorrect ELOOP error return.
 		 */
-		if ((!d_mountpoint(dentry) && !simple_empty(dentry)) ||
+		if ((!is_local_mountpoint(dentry) && !simple_empty(dentry)) ||
 		    (d_really_is_positive(dentry) && d_is_symlink(dentry)))
 			status = -EISDIR;
 	}
diff --git a/fs/autofs4/waitq.c b/fs/autofs4/waitq.c
index 431fd7e..911f4d5 100644
--- a/fs/autofs4/waitq.c
+++ b/fs/autofs4/waitq.c
@@ -333,7 +333,7 @@ static int validate_request(struct autofs_wait_queue **wait,
 					dentry = new;
 			}
 		}
-		if (have_submounts(dentry))
+		if (have_local_submounts(dentry))
 			valid = 0;
 
 		if (new)
