Mathematics, 30.07.2019 17:20 okme
Let x be a set. given a ? x, define the function ? a : x ? {0, 1} by
? a(x) = 1 if x ? a and ? a(x) = 0 if x /? a.
define f : p(x) ? fun(x, {0, 1}) by f(a) = ? a.
(a) prove that f is an surjection.
(b) prove that f is a injection.
Answers: 3
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Let x be a set. given a ? x, define the function ? a : x ? {0, 1} by
? a(x) = 1 if x ? a a...
? a(x) = 1 if x ? a a...
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