My pro game collection reveals that this diagram is how black handles the position.

i have seen many different variation on the board..
most of them are joseki in my opinion.
what you suggest sounds good also.

my preference was as below.
i like black's influence but it doesnt mean black is better.

Click Here To Show Diagram Code

[go]$$Wc Problem 1 right answer continued
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . 5 . . . |
$$ | . . . . . . . . . . . . . X O . . . . |
$$ | . . . O . . . . . . . . X X X O O 3 . |
$$ | . O O , O . X . . , . . . . O X X 1 . |
$$ | . . X X . . . . . . . . . . . . . 2 . |
$$ | . . . . . . X . . . . . . . . . 4 . . |
$$ | . . . X . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . X . . . |
$$ | . . . . . . . . . . . . . . O . . . . |
$$ | . . . , . . . . . , . . . . . , X . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . 6 . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O , . . . . . , O . . . . X . . . |
$$ | . . . . O . . . . . . . . O . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

_________________
"The more we think we know about
The greater the unknown"
Words by neil peart, music by geddy lee and alex lifeson

I was on your side. Maybe we made both the same mistake.
If the corner were like this:

Click Here To Show Diagram Code

[go]$$Bc
$$ --------------+
$$ . . . . . . . |
$$ . . . . . . . |
$$ . . X . . . . |
$$ . . . , X . . |
$$ . . . . . . . |
$$ . . . . . . . |
$$ . . . . . . . |
$$ . . . . . . . |
$$ . . . . . . . |
$$ . . . , X . . |
$$ . . . . . . . |[/go]

a probe would have been probably correct. The difference is that here B is stable in the corner. A probe would establish some aji and would be left alone after being played and answered. Even if it comes to nothing there is hardly any loss. In Joaz' position the corner is not stable and the invasion should produce some profit. Tenuki before life is a loss. So it isnt a probe but a true invasion. Probes might come before reductions but reductions come before invasions. If I understood correctly.
Our/my kyu eyes don't see enough difference between the obviously distinct shimari's.