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Prove the following statements about the functions: (explain each step and if possible explain using coq language) The function f ( x ) = x
Prove the following statements about the functions: (explain each step and if possible explain using coq language)
The function f (x) = x2 for x N is injective, but not surjective.
The constant function f (x) = c for x N is not injective or surjective.
The inverse of a bijective function is bijective.
The composition of two bijective functions is bijective.
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