Consider that following plausible wide scope requirement, a requirement that many philosophers endorse (including, I believe, M. Bratman, G. Harman, J. H. Sobel, and J. D. Velleman):
(WSR) Subjective rationality demands that S be such that she does not intend to X if she believes that she will not X.
In order to move from this wide scope requirement to some corresponding narrow scope requirement, we might rely on the following principle:
(WSR->NSR) If there is a wide scope requirement to the effect that subjective rationality demands that S be such that she does not phi if she psi’s (e.g., does not believe not-Q if she believes both P and P entails Q), then it follows that there is a narrow scope requirement to the effect that S is objectively required [not to phi] if S is objectively required to psi.
Now, WSR and WSR->NSR together entail:
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