All coffee cups are cups does not imply All coffee cups are this cup, or all coffee cups are that cup, or ..., but still less does it imply All coffee cups are this cup, and all coffee cups are that cup, and ....
「All coffee cups are cups」という文は「All coffee cups are this cup, or all coffee cups are that cup, or ...」という意味ではないし、まして「All coffee cups are this cup, and all coffee cups are that cup, and ...」という意味でもない。