Is White dead after Black playing the marked stone. We both belive so but we're not 100% sure. (The position is settled in the game, so feel free to speculate about the group's status)
$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . 6 4 | $$ . . X O . O 2 3 | $$ . . . X X X X 1 | $$ . . . . O O O 5 | $$ . . X . . B 7 . | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . 6 4 | $$ . . X O . O 2 3 | $$ . . . X X X X 1 | $$ . . . . O O O 5 | $$ . . X . . B 7 . | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
Looks alive to me
Of course, now it's up to black to hurt the corner as much as possible
$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O . . | $$ . . . X X X X . | $$ . . . . O O O 2 | $$ . . X 4 . B 1 3 | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O . . | $$ . . . X X X X . | $$ . . . . O O O 2 | $$ . . X 4 . B 1 3 | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O . . | $$ . . . X X X X . | $$ . . . . O O O 2 | $$ . . X 4 . B 1 3 | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O . . | $$ . . . X X X X . | $$ . . . . O O O 2 | $$ . . X 4 . B 1 3 | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
I got the order all wrong.
Yes, both the points of and in you diagram are vital, so white needs to get one in sente to be able to play the other as well.
$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O 2 . | $$ . . . X X X X 1 | $$ . . . . O O O 4 | $$ . . X . . B 3 8 | $$ . . . . O 5 9 6 | $$ . X . X . O O 7 | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O 2 . | $$ . . . X X X X 1 | $$ . . . . O O O 4 | $$ . . X . . B 3 8 | $$ . . . . O 5 9 6 | $$ . X . X . O O 7 | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
$$Bm10 $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O X . | $$ . . . X X X X O | $$ . . . . O O O 1 | $$ . . X . . X O 2 | $$ . . . . O O O . | $$ . X . X . O O O | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$Bm10 $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O X . | $$ . . . X X X X O | $$ . . . . O O O 1 | $$ . . X . . X O 2 | $$ . . . . O O O . | $$ . X . X . O O O | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O 3 . | $$ . . . X X X X 1 | $$ . . . . O O O . | $$ . . X . 4 B 2 . | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |
[go]$$W $$ ----------------+ $$ . . . . . . . . | $$ . . X O . . . . | $$ . . . . . O . . | $$ . . . O X . O . | $$ . X . O . . . . | $$ . . X O . O 3 . | $$ . . . X X X X 1 | $$ . . . . O O O . | $$ . . X . 4 B 2 . | $$ . . . . O . . . | $$ . X . X . O O . | $$ . . . . X . X . | $$ . . . . X . X . | $$ . . . . . . . . |[/go]
The Adkins Principle: At some point, doesn't thinking have to go on?
— Winona Adkins
and 
in you diagram are vital, so white needs to get one in sente to be able to play the other as well.