Mathematics, 30.07.2019 17:20 dontcareanyonemo

Let a and b be sets. let f : a ? b. recall that f^1 : p(a) ? p(b) is defined by f^1(s) = {f(x)| x ? s}.
(a) prove that if f is an injection, then f^1 is an injection.
(b) prove that if f^1 is an injection, then f is an injection.
(f^1) is just symbol. i can not type actual symbol, so i just change that.
( > )
( f ) orignal symbol is like that. arrow is above f

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Let a and b be sets. let f : a ? b. recall that f^1 : p(a) ? p(b) is defined by f^1(s) = {f(x)|...