No it doesn't Adam, it proves you believe Jeremy stole the bike and that is all. 
The only one who does, it seems.
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Begrudging someone a stereo equipment is really weird if you ask me. Completely out there. Everone had stereo equipment in the eighties, but you paint a picture of it being something totally extravagant for Jeremy to have had one.
Is it because Jeremy was adopted and should walk around with hat in hand, bowing and scraping and being forever gratefiul while living off a stick?
You begrudge him everything - it is odd.