[cup-of-tea]

Oh don't be silly. The "produced" part is obviously only applied to consumable items. Something is not obsolete because it is no longer manufactured. It might be obsolete if consumable parts for it are no longer manufactured. Nobody would use obsolete to refer to a tool that still performs its intended function but is no longer manufactured.

[rhencke]

The Oxford English dictionary provides synonyms for obsolete. While 'fallen into disuse' is one synonym provided, another is 'discontinued'.

Your definition of obsolete, while correct, is not complete.