Gen 5:2 Male and female created he them; and blessed them, and called their name Adam, in the day when they were created.
Adam named his wife Eve after the fall and the commandment was given but one time before the woman came out of the man.
Gen 3:6 And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, ...
She ate of her own reasoning seeded by a serpent before she ever touched the tree and became the mother of all living.
Postulate is much to big of a word for me.
Genesis 3 (21st Century King James Version)
3 Now the serpent was more subtle than any beast of the field which the Lord God had made. And he said unto the woman, “Yea, hath God said, ‘Ye shall not eat of every tree of the garden’?”
2 And the woman said unto the serpent, “We may eat of the fruit of the trees of the garden,
3 but of the fruit of the tree which is in the midst of the garden, God hath said, ‘Ye shall not eat of it, neither shall ye touch it,lest ye die.’”
4 And the serpent said unto the woman, “Ye shall not surely die;
5 for God doth know that in the day ye eat thereof, then your eyes shall be opened, and
ye shall be as gods, knowing good and evil.”
6 And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof and ate, and gave also unto her husband with her; and he ate.
7 And the eyes of them both were opened, and they knew that they were naked; and they sewed fig leaves together, and made themselves things to gird about.
8 And they heard the voice of the Lord God, walking in the garden in the cool of the day. And Adam and his wife hid themselves from the presence of the Lord God amongst the trees of the garden.
9 And the Lord God called unto Adam and said unto him, “Where art thou?”
10 And he said, “I heard Thy voice in the garden, and I was afraid because I was naked; and I hid myself.”
11 And He said, “Who told thee that thou wast naked? Hast thou eaten of the tree whereof I commanded thee that thou shouldest not eat?”
12 And the man said, “The woman whom Thou gavest to be with me, she gave me of the tree, and I ate.”
13 And the Lord God said unto the woman, “What is this that thou hast done?” And the woman said, “The serpent beguiled me, and I ate.”
14 And the Lord God said unto the serpent, “Because thou hast done this, thou art cursed above all cattle, and above every beast of the field. Upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life.
15 And I will put enmity between thee and the woman, and between thy seed and her Seed; It shall bruise thy head, and thou shalt bruise His heel.”
16 Unto the woman He said, “I will greatly multiply thy sorrow and thy conception. In sorrow thou shalt bring forth children; and thy desire shall be to thy husband, and he shall rule over thee.”
17 And unto Adam He said, “Because thou hast hearkened unto the voice of thy wife, and hast eaten of the tree of which I commanded thee, saying, ‘Thou shalt not eat of it,’
cursed is the ground for thy sake; in sorrow shalt thou eat of it all the days of thy life.
18 Thorns also and thistles shall it bring forth to thee, and thou shalt eat the herb of the field.
19 In the sweat of thy face shalt thou eat bread till thou return unto the ground, for out of it wast thou taken; for dust thou art, and unto dust shalt thou return.”
20 And Adam called his wife’s name Eve, because she was the mother of all living.
21 Unto Adam also and to his wife did the Lord God make coats of skins, and clothed them.
22 And the Lord God said, “Behold,
the man has become as one of Us, to know good and evil. And now, lest he
put forth his hand and take also of the tree of life, and eat and live for ever”—
23 therefore the Lord God sent him forth from the Garden of Eden to till the ground from whence he was taken.
24 So He drove out the man; and
He placed at the east of the Garden of Eden cherubims and a flaming sword which turned every way, to keep the way of the tree of life.
The woman had no name and was first named Eve once they were placed outside the garden. Because Adam was the first man, the name Adam goes on to classify all sons of man which all men and women are. There was only one person named Adam in the garden.
The serpent gave a half truth concerning them dying the same day they ate of the forbidden tree. What the serpent neglected to point out was that once Adam lost access to the tree of life, his days would be measured by man-days, but Gods promise was based on a God-day which equals a thousand man-years. Adam lived exactly 930 man-years or 93% of one single God-day. God gave Adam the full truth!
The serpent did correctly point out that the wisdom brought by the knowledge of good and evil, is what makes us like God and is what God meant when He said let Us make man in our image. And the tree of life is made perfectly clear, that it provides eternal life.
Last but not least, God cursed the ground. We still live with that curse, but in the book of Revelation, the curse is lifeted at the beginning of the Millennium-Sabbath at the same time the tree of life is returned. 
bow-down to Satan by ignoring that it isn't the physical things of this world that should enter into the Kingdom of God, but rather our souls that created its reality without hands.
