An indexed family of sets (Alhet is said to be a cover of a set X if and only if X CUieIA . Use this idea to prove that if (Cie1 and (D), are two different covers of a nonempty set A then (C,n DuCx forms a cover of A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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An indexed family of sets (A,lher is said to be a cover of a set X if and only if X CUiet A, . Use this idea to
prove that if (C,lie1 and {D},e are two different covers of a nonempty set A then {C, n D}DEIxI forms a
(1.J)EI:
cover of A
Transcribed Image Text:An indexed family of sets (A,lher is said to be a cover of a set X if and only if X CUiet A, . Use this idea to prove that if (C,lie1 and {D},e are two different covers of a nonempty set A then {C, n D}DEIxI forms a (1.J)EI: cover of A
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