Relations and Functions

Relations and Functions

Question

Write space space space space space space space space space space space space space space space space space space space space space space left parenthesis straight a right parenthesis space space space space straight P left parenthesis straight ϕ right parenthesis space and space straight n left square bracket straight P left parenthesis straight ϕ right parenthesis right square bracket space space space space left parenthesis straight b right parenthesis space space space straight P left curly bracket straight ϕ right curly bracket space and space straight n left curly bracket straight P left curly bracket straight ϕ right curly bracket right square bracket space space space space space space left parenthesis straight c right parenthesis space space straight P left curly bracket straight ϕ comma space left curly bracket straight ϕ right curly bracket right curly bracket space space space and space straight n left curly bracket straight P left curly bracket straight ϕ comma space left curly bracket straight ϕ right curly bracket right curly bracket right square bracket

Answer
space space space space space space space space space space space space space space space space space space left parenthesis straight a right parenthesis space left curly bracket straight ϕ right curly bracket space semicolon space 1 space space space space space left parenthesis straight b right parenthesis space space left curly bracket straight ϕ comma space left curly bracket straight ϕ right curly bracket right curly bracket comma space 2 space space space space space space space space left parenthesis straight c right parenthesis space space left curly bracket straight ϕ comma space left curly bracket straight ϕ right curly bracket comma space left curly bracket left curly bracket straight ϕ right curly bracket right curly bracket comma space left curly bracket straight ϕ comma space left curly bracket straight ϕ right curly bracket right curly bracket right curly bracket space semicolon space 4

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