I need an appropriate proposition for the following statement:
If the prime interest rate goes up, then it is sufficient that unemployment goes down for prices to rise.
With $p=$ prime interest rate goes up, $q=$ unemployment goes down and $r=$ prices rise, I am confused as to whether the above statement would be written as $$p\implies(q\implies r)$$ or $$p\implies(q\land r)$$
also
unemployment goes down only if the prime interest rate goes up.
would this not be the same as
$$q\implies p$$