This is not always true.
An obverse statement is logically equivalent.
This would be logically equivalent to the conditional you started with.
Switching the hypothesis and conclusion of a conditional statement.
true
none
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
An obverse statement is logically equivalent.
This would be logically equivalent to the conditional you started with.
A biconditional is the conjunction of a conditional statement and its converse.
A biconditional is the conjunction of a conditional statement and its converse.
It is the biconditional.
Converse
Switching the hypothesis and conclusion of a conditional statement.
true
always true
always true
Conditional statements are also called "if-then" statements.One example: "If it snows, then they cancel school."The converse of that statement is "If they cancel school, then it snows."The inverse of that statement is "If it does not snow, then they do not cancel school.The contrapositive combines the two: "If they do not cancel school, then it does not snow."In mathematics:Statement: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.