Define function i by ix x1 for all x This function is inje

Define function i: by i(x) = [(x,1)] for all x . This function is injective. I don\'t understand if this is true or false

Solution

yes, This function is injective

because if i(x1) =i(x2)

=> [(x1,1)]= [(x2,1)]

=>x1=x2

there exists distinct values for distinct x

Define function i: by i(x) = [(x,1)] for all x . This function is injective. I don\'t understand if this is true or falseSolutionyes, This function is injective

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