A conditional statement is true if, and only if, its contrapositive is true.
If a conditional statement is true, then so is its contrapositive. (And if its contrapositive is not true, then the statement is not true).
by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.
It may or may not be true.
not b not a its contrapositive
false
true
The inverse of a conditional statement switches the hypothesis and conclusion. The converse of a conditional statement switches the hypothesis and conclusion. The contrapositive of a conditional statement switches and negates the hypothesis and conclusion.
A Contrapositive statement is logically equivalent.
Contrapositive
False
a conditional and its contrapositive