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The simplification rule in logic states that where a conjunction of two varaibles is true then both variables are true individually.  In plainer English this means that where a statment using "and" is true the separate parts of the stamtement are true on their own.
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The simplification rule in logic states that where a conjunction of two variables is true then both variables are true individually.  In plainer English this means that where a statment using "and" is true the separate parts of the stamtement are true on their own.
    
For example if the following is true:
 
For example if the following is true:
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