diff --git a/Library/Homebrew/ast_constants.rb b/Library/Homebrew/ast_constants.rb
index 1de605374d..7622f0a2d3 100644
--- a/Library/Homebrew/ast_constants.rb
+++ b/Library/Homebrew/ast_constants.rb
@@ -29,6 +29,10 @@ FORMULA_COMPONENT_PRECEDENCE_LIST = [
   [{ name: :depends_on, type: :method_call }],
   [{ name: :uses_from_macos, type: :method_call }],
   [{ name: :on_macos, type: :block_call }],
+  *MacOSVersions::SYMBOLS.keys.map do |os_name|
+    [{ name: :"on_#{os_name}", type: :block_call }]
+  end,
+  [{ name: :on_system, type: :block_call }],
   [{ name: :on_linux, type: :block_call }],
   [{ name: :on_arm, type: :block_call }],
   [{ name: :on_intel, type: :block_call }],
diff --git a/Library/Homebrew/rubocops/components_order.rb b/Library/Homebrew/rubocops/components_order.rb
index 094ef0bfce..6a5a789325 100644
--- a/Library/Homebrew/rubocops/components_order.rb
+++ b/Library/Homebrew/rubocops/components_order.rb
@@ -15,7 +15,7 @@ module RuboCop
         extend AutoCorrector
 
         def on_system_methods
-          @on_system_methods ||= [:intel, :arm, :macos, :linux, *MacOSVersions::SYMBOLS.keys].map do |m|
+          @on_system_methods ||= [:intel, :arm, :macos, :linux, :system, *MacOSVersions::SYMBOLS.keys].map do |m|
             :"on_#{m}"
           end
         end