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Sagot :
No, the injection and surjection do not have to come from the same function for there to exist a bijection between the two sets.
A bijection is a mathematical function that establishes a one-to-one correspondence between two sets, known as the domain and codomain. This means that for every element in the domain, there is exactly one element in the codomain, and vice versa. A bijection is both an injection and a surjection, meaning that it is both injective and surjective. Injective means that each element in the domain is mapped to a unique element in the codomain, while surjective means that every element in the codomain is mapped to at least one element in the domain. Therefore, a bijection establishes a perfect match between the two sets, where each element of one set is paired up with a unique element of the other set.
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