MathDB
Putnam 1954 B3

Source: Putnam 1954

July 17, 2022
PutnamintervalIntersection of set

Problem Statement

Let [a1,b1],…,[an,bn][a_1 , b_1 ] , \ldots, [a_n ,b_n ] be a collection of closed intervals such that any of these closed intervals have a point in common. Prove that there exists a point contained in every one of these intervals.
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