Must a SB sized allin postflop bet be completed to the size of the BB?

[SNOWBALL]

No the player wasn't correct. I see this all the time in limit games, where someone goes all in for 1/3 the minimum bet.

EDIT: If it was the same situation preflop, then the player would have been correct. In general, you can't see the next street unless:
1. There is no bet to you
2. You are all in
3. You have matched the maximum bet on that round

The max bet on that round was the $5 all in bet.