昌爸工作坊論壇
  |─ 如何證明 " &#172;(x<y) is y&#8804;x " and " &#172;(x&#8804;y) is y<x "(其中 &#8804; is total orders and < is strict total orders)
回覆
回覆 搜尋 返回 管理

作者 標題: 如何證明 " &#172;(x<y) is y&#8804;x " and " &#172;(x&#8804;y) is y<x "(其中 &#8804; is total orders and < is strict total orders)
youngstarrich    

IP Address:
[ 220.135.182.157 ]
    發表於: 2022/11/21 下午 09:35:16            
已知:(1) ≤ is total orders (satisfy reflexive, anti-symmetric, transitive,
and comparable)

(2) < is strict total orders (satisfy irreflexive, transitive, and comparable)

由已知(1)與(2),如何證明 "¬(x<y) is y≤x" and "¬(x≤y) is y<x"?

此討論區程式由哇哩勒網路程式SHOP製作 ,程式版權屬於哇哩勒工作室所有   Copyrights© 2000Reserved For Walilay Program Studio

Copyright © 昌爸工作坊(數學網站) All Rights Reserved.