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The “∀” is the universal quantification symbol, it's a shorthand character in symbolic logic. It's read as “for all” when written in a string of symbols when say, writing a formal proof.

The phrases “for all”, is used so frequently in mathematics that people have found it useful to adopt the following symbol for shorthand. The symbol “∀” means “for all” or “for any”. 

Last updated: March 20, 2020