First example is heads up, second is not. Notice the "caller" in the example.

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and the fact that he told us to "value bet" the river.

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You're right. When I initiallly made my first post, I made my mistake of saying "value bet". One side of my brain was apparently not communicating with the other. If that's one of the reasons I'm getting flak, I understand. I meant to say call, as I showed in my later post.