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Suppose F and G are families of sets. Prove that (UF)n (UG) ≤ U(F N G) iff VA EFVBE G(An BCU (FNG)).

Suppose F and G are families of sets. Prove that (UF)n (UG) ≤ U(F N G) iff VA EFVBE G(An BCU (FNG)).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose F and G are families of sets. Prove that (UF) N (UG) ≤ U(FG) iff VA E FVBE G(An B≤U(FNG)).
Transcribed Image Text:Suppose F and G are families of sets. Prove that (UF) N (UG) ≤ U(FG) iff VA E FVBE G(An B≤U(FNG)).
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