Edenic prophecy

And between your seed
"And between your seed" refers to a seed זֶרַע (zera`) or offspring, denoting progeny or decedents, of Satan.

And her seed
"And her seed" refers to the seed זֶרַע (zera`) or offspring of the woman. This may be applied to the Christ, where "seed" could also refer to only one.

He will crush your head
The Hebrew verb shuwph ( שׁוּף ) denotes to bruise, to crush, or possibly to seize, or strike. This line applies to the Christ crushing the head of the original serpent.


 * For his part, the God who gives peace will crush Satan under your feet shortly. May the undeserved kindness of our Lord Jesus be with you.'' - Romans 16:20


 * He seized the dragon, the original serpent, who is the Devil and Satan, and bound him for 1,000 years.'' - Revelation 20:2


 * And the Devil who was misleading them was hurled into the lake of fire and sulfur, where both the wild beast and the false prophet already were; and they will be tormented day and night forever and ever.'' - Revelation 20:10

And you will strike him in the heel
The original serpent strikes Christ in the heel by arranging earthly authorities to seize and kill Jesus, only to be resurrected by God.


 * The evening meal was going on, and the Devil had already put it into the heart of Judas Iscariot, the son of Simon, to betray him... After Judas took the piece of bread, then Satan entered into him. So Jesus said to him: “What you are doing, do it more quickly.” - John 13:2, 27


 * Then Satan entered into Judas, the one called Iscariot, who was numbered among the Twelve, and he went off and talked with the chief priests and temple captains about how to betray him to them. - Luke 22:3,4


 * “... you killed the Chief Agent of life. But God raised him up from the dead, of which fact we are witnesses.”'' - Acts 3:15


 * For if you publicly declare with your mouth that Jesus is Lord, and exercise faith in your heart that God raised him up from the dead, you will be saved. - Romans 10:9

Exeges
The theme of enmity between the serpent's seed and the seed of the woman, who is the Christ, could be traced as early as Asaph's song, Psalm 83, where the nations of Edom, the Ishmaelites, Assyria, and others made an alliance against Israel with cunning and secret plots.