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Question about transitivity in partial orderings
cpmgbihar
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Jun 21, 2022
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Question about transitivity in partial orderings
learnmath
cpmgbihar
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Jun 21, 2022
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Yes, since (x,y),(y,z) implies (x,z), and then (x,z),(z,w) implies (x,w).
Likewise you get transitivity for chains of arbitrary length, which you can prove by induction on the length of the chain.
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Jun 21, 2022
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