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Show this using Boolean algebra


ecoli

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The book I'm reading (Probability and the Logic of Science by Jaynes) has an example in it that I'm just not following.

 

 

[math] If [/math] [math] \bar{A}=AD[/math] [math] then[/math] [math] A\bar{B}=\bar{B}[/math]

 

Which I get, but then continues to:

 

[math] and[/math] [math] B\bar{A} = \bar{A}[/math]

 

which I don't get, considering the boolean identities he provides. Anyone know how to do this?

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