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السؤال 16 One of the theorems is called Zorn's theorm: .a Every set can be well-ordered. .b If S is ordered-isomorphic to T, then |S|=|T| .C Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element. .d For any set A ,we have |A|<|P(A)|

السؤال 16 One of the theorems is called Zorn's theorm: .a Every set can be well-ordered. .b If S is ordered-isomorphic to T, then |S|=|T| .C Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element. .d For any set A ,we have |A|<|P(A)|

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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السؤال 16 One of the theorems is called Zorn's theorm: .a Every set can be well-ordered. .b If S is ordered-isomorphic to T,then |S|=|T| .C Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X.Then X contains at least one maximal element. .d For any set A ,we have |A|<|P(A)|
Transcribed Image Text:السؤال 16 One of the theorems is called Zorn's theorm: .a Every set can be well-ordered. .b If S is ordered-isomorphic to T,then |S|=|T| .C Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X.Then X contains at least one maximal element. .d For any set A ,we have |A|<|P(A)|
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