Question
If f : P Q is onto (f[P] = Q), and X is a partition of Q. Let Y = {f-1 [x] | X
If f : P Q is onto (f[P] = Q), and X is a partition of Q. Let Y = {f-1 [x] | X E X). Prove that Y is a partition of P. Why did you need to assume that f is onto (or did you really need to assume that?).
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To prove that Y is a partition of P we need to show two things 1 Y is a collection of nonempty subsets of P and 2 the subsets in are pairwise disjoint ...Get Instant Access to Expert-Tailored Solutions
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Introduction to Probability
Authors: Mark Daniel Ward, Ellen Gundlach
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716771098, 978-1319060893, 1319060897, 978-0716771098
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