The theorem and its proof is given below:
But I do not understand why $(\rho i)_{*} = $ identity implies that $\rho_{*}$ is onto. Could anyone explain this for me please?
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Every function with a right inverse is necessarily a surjection – J. W. Tanner Jul 31 '19 at 13:02
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And if it is with left inverse, it is [email protected] – Intuition Jul 31 '19 at 13:06
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1Yes, that's true – J. W. Tanner Jul 31 '19 at 13:08