How would I use Mathematica to simplify:


The answer is S'∩T

Edit: S' means Complement of S.

Thanks! Solved with:

BooleanConvert[! S && ! (S || ! T)]

  • $\begingroup$ @Kuba Thanks, solved it with BooleanConvert[! S [And] ! (S [Or] ! T)] $\endgroup$
    – BindingOx
    Commented Mar 21, 2018 at 7:29
  • $\begingroup$ I moved my comment to the answer then. $\endgroup$
    – Kuba
    Commented Mar 21, 2018 at 9:42

1 Answer 1


I'm not sure if this is full justified from math perspective but using logic you can do:

BooleanConvert[! S \[And] ! (S \[Or] ! T)]

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