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In any poset (A,≤) with ab + 1 elements, either there is a chain of length a + 1 or an anti-chain of length b + 1 in A.

In any poset (A,≤) with ab + 1 elements, either there is a chain of length a + 1 or an anti-chain of length b + 1 in A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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number of elements in an antichain in the poset. 5. In any poset (A,≤) with ab + 1 elements, either there is a chain of length a + 1 or an anti-chain of length b + 1 in A. A lattice (<) is said to be a modular lattice if for every a hand in 4 where < 6
Transcribed Image Text:number of elements in an antichain in the poset. 5. In any poset (A,≤) with ab + 1 elements, either there is a chain of length a + 1 or an anti-chain of length b + 1 in A. A lattice (<) is said to be a modular lattice if for every a hand in 4 where < 6
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