Suppose that (S, 31) and (T, 32) are posets. Show that (S x T, 3) is a poset where (s, t) < (u, v) if and only if s 31 u and t 2 v. Show your work in details.
Suppose that (S, 31) and (T, 32) are posets. Show that (S x T, 3) is a poset where (s, t) < (u, v) if and only if s 31 u and t 2 v. Show your work in details.
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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Suppose that (S, 41) and (T , 42) are posets. Show that (S T , 4) is a poset where (s, t) 4 (u, v) if
and only if s 41 u and t 42 v. Show your work in details.
Transcribed Image Text:Suppose that (S, 1) and (T, 32) are posets. Show that (S x T, 3) is a poset where (s, t) < (u, v) if
and only if s <ı u and t 2 v. Show your work in details.
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