Quick question re: Lupin's resignation . . .

[mnaper2001]

No: HPFGUIDX 107167

Is there a part of OOTP I'm forgetting?  

Everyone said Snape let it slip that Lupin was a werewolf, but I 
didn't necessarily read Hagrid's statement like that.  He said 
something like "Didn't you hear?  Snape told the Slytherins this 
morning.  Professor Lupin is a werewolf and was roaming the grounds 
last night.  He's packing now."

That could mean - Snape told the Slytherins Lupin was a werewolf this 
morning, and now, as a result, Lupin's resigned.

Or it could just mean, Snape told the Slytherins the news that Lupin 
will no longer be with us, b/c he's a werewolf, I'm surprised it 
hasn't gotten all around the school yet.

Is there some other part that confirms that Snape actually leaked the 
information, or is it all based on this quote from Hagrid?