In Propositions statements of “\(p\) if \(q\)” and “\(p\) only if \(q\)” have an inverse implication.
A proposition in the form \(p\) if \(q\) has the standard form “if \(q\) then \(p\)”, or \(q \rightarrow p\).
Statements of \(p\) only if \(q\) are equivalent to the standard form “if \(p\) then \(q\)”, or \(p \rightarrow q\).