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1 April 2025
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N 20:48 | Antisymmetric Relation/Examples/Partial Ordering 5 changes history +764 [Prime.mover (5×)] | |||
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20:48 (cur | prev) 0 Prime.mover talk contribs | ||||
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20:27 (cur | prev) +6 Prime.mover talk contribs | ||||
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20:26 (cur | prev) +5 Prime.mover talk contribs | ||||
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18:19 (cur | prev) +10 Prime.mover talk contribs | |||
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18:18 (cur | prev) +743 Prime.mover talk contribs (Created page with "== Example of Antisymmetric Relation == <onlyinclude> Let $\preceq$ be a partial ordering on a set $S$. Then $\preceq$ is an '''antisymmetric relation''' on $S$. </onlyinclude> == Proof == This follows directly from the definition of partial ordering. {{qed}} == Sources == * {{BookReference|The Concise Oxford...") | |||
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N 17:26 | Antisymmetric Relation/Examples/Ordering of Integers 2 changes history +1,056 [Prime.mover (2×)] | |||
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17:26 (cur | prev) −22 Prime.mover talk contribs | |||
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17:26 (cur | prev) +1,078 Prime.mover talk contribs (Created page with "== Example of Antisymmetric Relation == <onlyinclude> The usual ordering $\le$ on the set of integers $\Z$ is '''antisymmetric''': :$\forall x, y \in \Z: \paren {x \le y} \land \paren {y \le x} \iff x = y$ </onlyinclude> == Proof == This follows directly from the definition of ordering. {{qed}} == Sources == * {{Bo...") | |||
| m 17:20 | Subset Relation is Antisymmetric diffhist +6 Prime.mover talk contribs | ||||
| 17:15 | Definition:Antisymmetric Relation diffhist −731 Prime.mover talk contribs | ||||