What does “for that matter” mean?

used to add a comment on sth that you have just said

How is “for that matter” used?

In Butch Cassidy and the Sundance Kid (1969), one line is: “You can die. For that matter, you can both die.”

The clip at the top of this page is from Butch Cassidy and the Sundance Kid (1969).

You can die. For that matter, you can both die.

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