Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences.
Identify the new statement as the converse, inverse, or contrapositive of the original statement.
Indeed, elementary logic teaches that the contrapositive of a hypothesis is not necessarily true.
British Dictionary definitions for contrapositive
placed opposite or against
a conditional statement derived from another by negating and interchanging antecedent and consequent
a categorial proposition obtained from another, esp validly, by any of a number of operations including negation, transferring the terms, changing their quality, and also possibly weakening from universal to particular