Well, if he started from the surface then the air would be surface pressure only... so no compression, or rather no expansion as he came up, because it would be going back to normal pressure.
What I mean is the air in a sub is pressurized so it's going to need more volume as you move to the surface, but in his case it's a standard gulp of normal air.
I can swim a couple lengths of a pool underwater but this is a completely different story.
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