Martin (1992: 308):
Bridging is also possible with parts and wholes, working in either direction:
BRIDGING: PART FROM WHOLE
[5:23] Ben walked into the stadium, to look at the track.
BRIDGING: WHOLE FROM PART
[5:24] Ben saw a chimney. He was close to the cottage now.
These are just clear cases of meronymy (lexical cohesion). The underlined grammatical reference item the is irrelevant to the cohesiveness of the lexical relation.