With a well defined map provided, how do I prove it is injective (one-to-one) using the definition: A → B is one-to-one or injective if, whenever a and b are elements of A and a ≠ b, then f (a) ≠ f (b), or, equivalently, if f (a) = f (b), then a = b?
With a well defined map provided, how do I prove it is injective (one-to-one) using the definition: A → B is
one-to-one or injective if, whenever a and b are elements of A and a ≠ b, then f (a) ≠ f (b), or, equivalently, if f (a) = f (b), then a = b?
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