diff --git a/mypy/errors.py b/mypy/errors.py
index 4cdeb54f823a2..80b20469049e4 100644
--- a/mypy/errors.py
+++ b/mypy/errors.py
@@ -503,6 +503,9 @@ def add_error_info(self, info: ErrorInfo) -> None:
                         self.used_ignored_lines[file][scope_line].append(
                             (info.code or codes.MISC).code
                         )
+                        if file not in self.ignored_files:
+                            info.hidden = True
+                            self._add_error_info(file, info)
                         return
             if file in self.ignored_files:
                 return
@@ -804,8 +807,9 @@ def blocker_module(self) -> str | None:
         return None
 
     def is_errors_for_file(self, file: str) -> bool:
-        """Are there any errors for the given file?"""
-        return file in self.error_info_map
+        """Are there any visible errors for the given file?"""
+        errors = self.error_info_map.get(file, [])
+        return any(error.hidden is False for error in errors)
 
     def prefer_simple_messages(self) -> bool:
         """Should we generate simple/fast error messages?