Conditional statement with unknown components Can there be a conditional statement where the truth value of both the antecedent $P$ and consequent $Q$ are unknown but the truth value of $P\Rightarrow Q$ is known?

Resolved in comments. To summarise:

Take $x \in \mathbb{R}$, together with the nonsensical statement $$x > 5 \implies x < -2.$$

Clearly, the truth value of the conditional is known (it's false), but we do not a priori know truth values for the antecedent or consequent.

Try coming up with your own examples -- in particular, one where the conditional statement is true would be useful. Again, I hint towards this in the comments.