2.2.2. Pulman 1997 for an recovery of the elided background of a focus

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(9) A source proposition (or an antecedent proposition) in the context is partitioned into two with a functional application holding between the two: one, the parallel element corresponding to the focus of the target clause, and the other, the rest corresponding to the background of the target clause.

(10) assert<{x | raisef(h)(x___acc)}, {Y | The intersection between {x | Y(x___acc)} and {x | turtlef(x)} is not equivalent to the null set.}>, where its content is logically equivalent to the fact that the intersection between {x | raisef(h)(x)} and {x | turtlef(x)} is not equivalent to the null set.

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