Can i change the order of quantifiers in this case? In this sentence:
"No hero is cowardly and some soldiers are cowards."
Assuming 
h(x) = x is a hero 
s(x) = x is a soldier
c(x) = x is a coward.
So the sentence is like this i think:
($\forall x\ (h(x) \longrightarrow \neg C(x)) \land (\exists y\ (s(y) \land  C(y))$
In this case, are prenex formulas bellow the same thing?
$\forall x\ \exists y\  (\neg h(x) \lor \neg C(x)) \land ((s(y) \land  C(y))$
$\exists y\ \forall x\  (\neg h(x) \lor \neg C(x)) \land ((s(y) \land  C(y))$

To clarify the other responses here, 
$\forall x\ (h(x) \longrightarrow \neg C(x)) \land (\exists y\ (s(y) \land \neg C(y))$ is equivalent to $\forall x\ \exists y\  (\neg h(x) \lor \neg C(x)) \land ((s(y) \land \neg C(y))$, but not equivalent to $\exists x\ \forall y\  (\neg h(x) \lor \neg C(x)) \land ((s(y) \land \neg C(y))$
