diff --git a/Library/.rubocop.yml b/Library/.rubocop.yml
index f4110dc106..08b76daeec 100644
--- a/Library/.rubocop.yml
+++ b/Library/.rubocop.yml
@@ -459,8 +459,6 @@ Performance/MapCompact:
   Enabled: false
 Style/ArgumentsForwarding:
   Enabled: false
-Style/ArrayIntersect:
-  Enabled: false
 Style/HashSyntax:
   EnforcedShorthandSyntax: either
 Style/RedundantFreeze:
diff --git a/Library/Homebrew/cask/dsl.rb b/Library/Homebrew/cask/dsl.rb
index bf875e07aa..d139d90b5b 100644
--- a/Library/Homebrew/cask/dsl.rb
+++ b/Library/Homebrew/cask/dsl.rb
@@ -374,7 +374,7 @@ module Cask
       define_method(klass.dsl_key) do |*args, **kwargs|
         T.bind(self, DSL)
         if [*artifacts.map(&:class), klass].include?(Artifact::StageOnly) &&
-           (artifacts.map(&:class) & ACTIVATABLE_ARTIFACT_CLASSES).any?
+           artifacts.map(&:class).intersect?(ACTIVATABLE_ARTIFACT_CLASSES)
           raise CaskInvalidError.new(cask, "'stage_only' must be the only activatable artifact.")
         end
 
diff --git a/Library/Homebrew/cleanup.rb b/Library/Homebrew/cleanup.rb
index b92b6f02f5..19348c6a4c 100644
--- a/Library/Homebrew/cleanup.rb
+++ b/Library/Homebrew/cleanup.rb
@@ -232,7 +232,7 @@ module Homebrew
       return false if no_cleanup_formula.blank?
 
       @skip_clean_formulae ||= no_cleanup_formula.split(",")
-      @skip_clean_formulae.include?(formula.name) || (@skip_clean_formulae & formula.aliases).present?
+      @skip_clean_formulae.include?(formula.name) || @skip_clean_formulae.intersect?(formula.aliases)
     end
 
     def self.periodic_clean_due?
diff --git a/Library/Homebrew/diagnostic.rb b/Library/Homebrew/diagnostic.rb
index f0bec7ee80..99630fe1f7 100644
--- a/Library/Homebrew/diagnostic.rb
+++ b/Library/Homebrew/diagnostic.rb
@@ -703,7 +703,7 @@ module Homebrew
         return unless coreutils.any_version_installed?
 
         gnubin = %W[#{coreutils.opt_libexec}/gnubin #{coreutils.libexec}/gnubin]
-        return if (paths & gnubin).empty?
+        return unless paths.intersect?(gnubin)
 
         <<~EOS
           Putting non-prefixed coreutils in your path can cause GMP builds to fail.
diff --git a/Library/Homebrew/extend/os/mac/diagnostic.rb b/Library/Homebrew/extend/os/mac/diagnostic.rb
index f3d43a7db0..0e74b6da65 100644
--- a/Library/Homebrew/extend/os/mac/diagnostic.rb
+++ b/Library/Homebrew/extend/os/mac/diagnostic.rb
@@ -96,7 +96,7 @@ module Homebrew
 
         gnubin = %W[#{findutils.opt_libexec}/gnubin #{findutils.libexec}/gnubin]
         default_names = Tab.for_name("findutils").with? "default-names"
-        return if !default_names && (paths & gnubin).empty?
+        return if !default_names && !paths.intersect?(gnubin)
 
         <<~EOS
           Putting non-prefixed findutils in your path can cause python builds to fail.
diff --git a/Library/Homebrew/rubocops/service.rb b/Library/Homebrew/rubocops/service.rb
index 29065b26aa..4560cbb4a6 100644
--- a/Library/Homebrew/rubocops/service.rb
+++ b/Library/Homebrew/rubocops/service.rb
@@ -33,7 +33,7 @@ module RuboCop
 
           # NOTE: Solving the first problem here might solve the second one too
           # so we don't show both of them at the same time.
-          if (method_calls.keys & REQUIRED_METHOD_CALLS).empty?
+          if !method_calls.keys.intersect?(REQUIRED_METHOD_CALLS)
             offending_node(service_node)
             problem "Service blocks require `run` or `name` to be defined."
           elsif !method_calls.key?(:run)
diff --git a/Library/Homebrew/test/spec_helper.rb b/Library/Homebrew/test/spec_helper.rb
index 36df0e8971..51ed09c898 100644
--- a/Library/Homebrew/test/spec_helper.rb
+++ b/Library/Homebrew/test/spec_helper.rb
@@ -217,7 +217,7 @@ RSpec.configure do |config|
     @__stdin = $stdin.clone
 
     begin
-      if (example.metadata.keys & [:focus, :byebug]).empty? && !ENV.key?("HOMEBREW_VERBOSE_TESTS")
+      if !example.metadata.keys.intersect?([:focus, :byebug]) && !ENV.key?("HOMEBREW_VERBOSE_TESTS")
         $stdout.reopen(File::NULL)
         $stderr.reopen(File::NULL)
       else