Negating "If no one is absent, then if the weather permits, we will study outside" I am a beginner; please help solve this.

Write the negation of the statement:
"If no one is absent, then if the weather permits, we will study
outside."


"No one is absent."
W: "Weather permits"
S: "We will study outside."
Then we have the proposition, symbolically: 
$$A\rightarrow(W \rightarrow S)$$
Then, since we want to negate the proposition, we work with:
$$\begin{align} \lnot\Big(A\rightarrow(W \rightarrow S)\Big)& \equiv \lnot\Big(\lnot A \lor (\lnot W \lor S)\Big)\tag{$p\rightarrow q \equiv \lnot p \lor q$}\\ \\ & \equiv A \land W \land \lnot S\tag{DeMorgan's}\end{align}$$
So the negation of the statement translated back to English gives us: 

"No one is absent and weather is permitting, but (and) we won't study outside."

