You can access Cerulean Cave in SoulSilver after you get all 16 gym badges (Johto and Kanto).
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in cerulean cave
Cerulean Cave
To get into Cerulean Cave you have to get all 16 badges in Kanto & Johto, beat Red in mt Silver, then talk to Prof. Oak
you catch it in cerulean cave
cerulean cave after you beat all the gym leaders