Abstract Algebra/Group Theory/Homomorphism/A Homomorphism with Trivial Kernel is Injective

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Let f be a homomorphism from group G to group K. Let eK be identity of K.

means f is injective.


0. Choose such that

1. f is a homomorphism
2. 0.
3. f is a homomorphism
4. homomorphism maps identity to identity

5. 1,2,3,4.
6. given