Let me explain my answer:
First, I started by explaining that, to Sklivvz, a claim cannot be, by definition, implicit. He believes a claim is something that was articulated. Understanding how he defines word is necessary in understanding the nature of the disagreement between the two of you.
Then, I went on to use that information to agree with you: what you call an "implicit claim" is an assumption, an unstated argument. Those are fine by me, even if the terminology you used is a bit odd to me, for as long as the argument being question is really there. As Sklivvz said to me in chat, tha…