The contrapositive of the statement "If you will work, you will earn money" is:

Given the following two statements:

$\left(S_1\right):\left(q\vee p\right)\to \left(p\leftrightarrow ~q\right)$ is a tautology
$\left(S_2\right):~q\wedge \left(~p\leftrightarrow q\right)$ is a fallacy. Then :

Contrapositive of the statement :

'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is