Not necessarily. It will all depend on the statements A and B.
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a is a subset of b
if a is bigger than b and b is bigger than c a must be bigger than c... Transitivity
An example of a conditional statement is: If I throw this ball into the air, it will come down.In "if A then B", A is the antecedent, and B is the consequent.
a < b → a - a < b - a → 0 < b - a → 0 - b < b - a - b → -b < -a → if a < b then -b < -a which can also be expressed as -a > -b
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