For propositions $p$, $q$, and $r$
$$( p \Rightarrow q ) \Rightarrow r$$
it is known that the proposition is false.
Accordingly,\
I. $p \Rightarrow q$\
II. $q \Rightarrow r$\
III. $r \Rightarrow p$\
Which of the following propositions are always true?\
A) Only I\
B) Only II\
C) Only III\
D) I and III\
E) II and III