Question: If ???? i : X Y i , i = 1, 2, , n, is a collection of increasing correspondences with common domain

If ????i: X ⇉ Yi, i = 1, 2, … , n, is a collection of increasing correspondences with common domain X, their product ????: X ⇉ Π Yi defined by

p(x) = II(x)

is also increasing.

p(x) = II(x)

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