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I see the following correction for one of the books I'm reading:

On page 122, in the first line, the expression "Let Fa be set of all finite subsets of A. Define ..." should be "Let Fa be the set of all finite subsets of A and define ...".

Ignoring the technical detail, I don't see show the meaning of the sentence changes with the correction. So what is the difference here?

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It's just a stylistic choice, so that it reads less like a recipe (or other set of instructions). The meaning is the same.

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