Let n points be given inside a rectangle R such that no two of them...

Let n points be given inside a rectangle R such that no two of them lie on a line parallel
to one of the sides of R. The rectangle R is to be dissected into smaller rectangles with sides
parallel to the sides of R in such a way that none of these rectangles contains any of the given
points in its interior. Prove that we have to dissect R into at least n ` 1 smaller rectangles.?

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