diff --git a/Library/Homebrew/linuxbrew-core-migration.rb b/Library/Homebrew/linuxbrew-core-migration.rb
index a643316395..ef05bef22e 100644
--- a/Library/Homebrew/linuxbrew-core-migration.rb
+++ b/Library/Homebrew/linuxbrew-core-migration.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 # List of formulae that had a revision in linuxbrew-core
diff --git a/Library/Homebrew/rubocops/caveats.rb b/Library/Homebrew/rubocops/caveats.rb
index bc0ab272c5..b4045c6048 100644
--- a/Library/Homebrew/rubocops/caveats.rb
+++ b/Library/Homebrew/rubocops/caveats.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/class.rb b/Library/Homebrew/rubocops/class.rb
index 5239c0b157..2088ef1a59 100644
--- a/Library/Homebrew/rubocops/class.rb
+++ b/Library/Homebrew/rubocops/class.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/components_redundancy.rb b/Library/Homebrew/rubocops/components_redundancy.rb
index b6f6a7c097..50557ab187 100644
--- a/Library/Homebrew/rubocops/components_redundancy.rb
+++ b/Library/Homebrew/rubocops/components_redundancy.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/files.rb b/Library/Homebrew/rubocops/files.rb
index f6e9022d5a..ef1e6b6091 100644
--- a/Library/Homebrew/rubocops/files.rb
+++ b/Library/Homebrew/rubocops/files.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/homepage.rb b/Library/Homebrew/rubocops/homepage.rb
index 8e2b8f867b..618fc800f8 100644
--- a/Library/Homebrew/rubocops/homepage.rb
+++ b/Library/Homebrew/rubocops/homepage.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/livecheck.rb b/Library/Homebrew/rubocops/livecheck.rb
index 03e009940e..bc0740c400 100644
--- a/Library/Homebrew/rubocops/livecheck.rb
+++ b/Library/Homebrew/rubocops/livecheck.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/options.rb b/Library/Homebrew/rubocops/options.rb
index 2116fe3cf4..8958b94dd8 100644
--- a/Library/Homebrew/rubocops/options.rb
+++ b/Library/Homebrew/rubocops/options.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/resource_requires_dependencies.rb b/Library/Homebrew/rubocops/resource_requires_dependencies.rb
index 56136f3d49..4ed34dc05f 100644
--- a/Library/Homebrew/rubocops/resource_requires_dependencies.rb
+++ b/Library/Homebrew/rubocops/resource_requires_dependencies.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"
diff --git a/Library/Homebrew/rubocops/version.rb b/Library/Homebrew/rubocops/version.rb
index aa5dfe6861..82863ab3a1 100644
--- a/Library/Homebrew/rubocops/version.rb
+++ b/Library/Homebrew/rubocops/version.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 require "rubocops/extend/formula_cop"