This is what happened with Adam and Seth. Adam was created in God's likeness then he sinned. He lost his likeness to God. So even his offspring lost their likeness to God. Not only that, he also lost his dominion over all creation.Adam couldn't give birth to someone like God when he had lost his likeness to God.
Now, Christ came and died for our transgressions. When we believe in Him we are born of God. We become new creations, the old passes. For us to understand why this is good news to us, we need to understand that it was the nature that Seth inherited from his father that we have now lost in Christ. It is that nature that deprived us of having dominion over all creation because we didn't have the likeness of God. Now we have received the new nature which is of the likeness of God.
Rom 5:17-19 KJV
(17) For if by one man's offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ.)
(18) Therefore as by the offence of one judgment came upon all men to condemnation; even so by the righteousness of one the free gift came upon all men unto justification of life.
Through Jesus Christ we receive that wonderful new nature. Paul wrote to the Corinthians, (2Co 5:17 KJV) Therefore if any man be in Christ, he is a new creature: old things are passed away; behold, all things are become new. When we believe in Christ Jesus, we receive the super abounding grace. The Bible says that those who are going to take hold of the grace of Jesus and the gift of righteousness are going to reign in life. Grace and righteousness of Jesus Christ gives us that which was lost when Adam sinned, dominion.
The creation story
Gen 1:26-27 KJV
(26) And God said, Let us make man in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth.
(27) So God created man in his own image, in the image of God created he him; male and female created he them.
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