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Boolean OR dominance

The boolean dominance law says that when we have a value ORed with , the result is always , because:

  • So

This is because the OR requires at least one side to be true if we want a true result, but we already know one of the sides is true, so the result must also be true, we don’t need to know the value of to know that the result is .

To simplify, replace anywhere ORed with 1 with just 1. For example, simplifies to just .