diff --git a/Library/Homebrew/cask/cmd/abstract_command.rb b/Library/Homebrew/cask/cmd/abstract_command.rb
index 23e972087c..96cdac5bc9 100644
--- a/Library/Homebrew/cask/cmd/abstract_command.rb
+++ b/Library/Homebrew/cask/cmd/abstract_command.rb
@@ -1,4 +1,4 @@
-# typed: false
+# typed: true
 # frozen_string_literal: true
 
 require "search"
@@ -40,12 +40,12 @@ module Cask
 
       sig { returns(String) }
       def self.command_name
-        @command_name ||= name.sub(/^.*:/, "").gsub(/(.)([A-Z])/, '\1_\2').downcase
+        @command_name ||= T.must(name).sub(/^.*:/, "").gsub(/(.)([A-Z])/, '\1_\2').downcase
       end
 
       sig { returns(T::Boolean) }
       def self.abstract?
-        name.split("::").last.match?(/^Abstract[^a-z]/)
+        T.must(name).split("::").fetch(-1).match?(/^Abstract[^a-z]/)
       end
 
       sig { returns(T::Boolean) }
@@ -58,11 +58,6 @@ module Cask
         parser.generate_help_text
       end
 
-      sig { returns(String) }
-      def self.short_description
-        description[/\A[^.]*\./]
-      end
-
       def self.run(*args)
         new(*args).run
       end