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Conditional notation
p→q
Converse statement
Exchange the hypothesis and conclusion
Converse notation
q→p
Inverse statement
Negate the hypothesis and conclusion
Inverse notation
~p→~q
Contrapositive statement
Negate and switch the original statement.
Contrapositive notation
~q→~p
Biconditional statement
If and only if statement ( can only be written when both the conditional and converse statements are true.
Biconditional notation
p↔q
Conditional statement
Original if-then statement