"Theorems 1 and 2 imply" vs. "Theorem 1 and Theorem 2 imply"
Besides style, I think there's an issue of ambiguous interpretation:
"Theorems 1 and 2 imply..." suggests to me that $\mbox{Thm}1\ \&\ \mbox{Thm}2\Rightarrow\mbox{Thm}3$.
But "Theorem 1 and Theorem 2 imply..." might more easily be interpreted to mean
$\mbox{Thm}1\Rightarrow\mbox{Thm}3\ \ \&\ \ \mbox{Thm}2\Rightarrow\mbox{Thm}3$