"UNconditional" does not imply that there is no ko involved!
+ + + + + + + + + + + + +
+ + + + + + + + + + + + +
Shikatsu Myoki #76:
$$W
$$ --------------------------
$$ . . . . . 4 3 5 2 . . . |
$$ . . . . X . X 1 . 6 O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X 7 X |
$$ . . . . . . . . . . X . |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$W
$$ --------------------------
$$ . . . . . 4 3 5 2 . . . |
$$ . . . . X . X 1 . 6 O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X 7 X |
$$ . . . . . . . . . . X . |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]

creates a SECOND ko shape.

captures the ko at right.
$$Bm8
$$ --------------------------
$$ . . . . . X O O X . 2 . |
$$ . . . . X 4 X O . X O O |
$$ . . . . . X O O O O 3 O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X 1 |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$Bm8
$$ --------------------------
$$ . . . . . X O O X . 2 . |
$$ . . . . X 4 X O . X O O |
$$ . . . . . X O O O O 3 O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X 1 |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]

connects, as he does not have any LOCAL ko threat.

recaptures the ko at right.

captures the ko at left.
$$B
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . . X O ? O . X O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X ? X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$B
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . . X O ? O . X O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X ? X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]
Double-ko = unconditional life for White.
$$Bm12
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . 1 X O . O . X O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X 2 X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$Bm12
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . 1 X O . O . X O O |
$$ . . . . . X O O O O X O |
$$ . . . . . . X X X X 2 X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]
$$Bm14
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . X X O 1 O . X O O |
$$ . . . . . X O O O O 2 O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$Bm14
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . X X O 1 O . X O O |
$$ . . . . . X O O O O 2 O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]
$$B
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . X X . X O . X O O |
$$ . . . . . X O O O O O O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$
- Click Here To Show Diagram Code
[go]$$B
$$ --------------------------
$$ . . . . . X O O X . O . |
$$ . . . X X . X O . X O O |
$$ . . . . . X O O O O O O |
$$ . . . . . . X X X X O X |
$$ . . . . . . . . . . X X |
$$ . . . . . . . . . . . . |
$$ . . . . . . . . . . . . |
$$[/go]
Q.e.d.
+ + + + + + + + + + + + +
+ + + + + + + + + + + + +
Igo Hatsuyoron #80:
$$B Black to play
$$ -----------------
$$ | . . . . X . .
$$ | . . O O X . .
$$ | . . O X . . .
$$ | . . . X . . .
$$ | . O X . X . .
$$ | . O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$
- Click Here To Show Diagram Code
[go]$$B Black to play
$$ -----------------
$$ | . . . . X . .
$$ | . . O O X . .
$$ | . . O X . . .
$$ | . . . X . . .
$$ | . O X . X . .
$$ | . O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$[/go]
$$B
$$ -----------------
$$ | 9 8 4 1 X . .
$$ | 6 3 O O X . .
$$ | 7 . O X . . .
$$ | . 2 . X . . .
$$ | . O X . X . .
$$ | 5 O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$
- Click Here To Show Diagram Code
[go]$$B
$$ -----------------
$$ | 9 8 4 1 X . .
$$ | 6 3 O O X . .
$$ | 7 . O X . . .
$$ | . 2 . X . . .
$$ | . O X . X . .
$$ | 5 O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$[/go]

creates a ko shape.

captures the ko.
$$Wm10
$$ -----------------
$$ | X O O X X . .
$$ | 3 X O O X . .
$$ | X . O X 1 2 .
$$ | . O . X . . .
$$ | . O X . X . .
$$ | X O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$
- Click Here To Show Diagram Code
[go]$$Wm10
$$ -----------------
$$ | X O O X X . .
$$ | 3 X O O X . .
$$ | X . O X 1 2 .
$$ | . O . X . . .
$$ | . O X . X . .
$$ | X O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$[/go]

plays a LOCAL ko threat.

answers.

recaptures the ko.
$$W
$$ -----------------
$$ | ? O O X X . .
$$ | O X O O X . .
$$ | X ? O X O X .
$$ | . O . X . . .
$$ | . O X . X . .
$$ | X O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$
- Click Here To Show Diagram Code
[go]$$W
$$ -----------------
$$ | ? O O X X . .
$$ | O X O O X . .
$$ | X ? O X O X .
$$ | . O . X . . .
$$ | . O X . X . .
$$ | X O . . . . .
$$ | . X X X . . .
$$ | . . . . . . .
$$ | . . . . . . .
$$[/go]
Black does not have any LOCAL ko threat => White dies in ko. => White is NOT unconditionally dead.
(The ko is disadvantageous for Black, as he has to find the first EXTERNAL ko threat, and White has several LOCAL ko threats remaining.)