Uhm... yeah, it does. It says so in Genesis 3:20. Eve = mother of all living. Thank you, drive through.
That means that, according to the Bible, Cain's wife was descended from Eve.
As for you not being bound to tradition, I'm happy for you. Truly. But don't say "Since I'm not bound to tradition, the Bible doesn't really say that God made the Earth is 6 days and rested the 7th" because the Bible says exactly that. I can show you right where it says that.
So you either believe it... or you don't. But don't torture the text to try to make it say something it doesn't so that you can reconcile neo-Darwinism with the Bible. They're not reconcilable.
Your ideas about the bible -your assumptions about the words written -and scientific fact are not reconcilable -but what the bible actually says -and what the language used allows for -are a different story.
Eve=mother of all the living -literally or figuratively
chay
khah'ee
From H2421; alive; hence raw (flesh); fresh (plant, water, year), strong; also (as noun, especially in the feminine singular and masculine plural) life (or living thing),
whether literally or figuratively: - + age, alive, appetite, (wild) beast, company, congregation, life (-time), live (-ly), living (creature, thing), maintenance, + merry, multitude, + (be) old, quick, raw, running, springing, troop.
-which could also refer to the fact that they had the opportunity to live forever thenceforth -similar to Christ referring to those alive and not on the path toward salvation as "the dead".
Also.... the definition of the word translated "WAS" in the first verses of Genesis is just as correctly translated "HAD BECOME" -leaving any mount of time between its initial completion -spoken of in job as causing the sons of god to shout for joy -and its becoming waste and ruin.
It is likely that that particular ruinous state was due to the rebellion of the angels against the throne of God (which was put down) -who ascended above the heights of the clouds to do so.
That rebellion took place before the events in Eden -as Satan had already turned against God
-and had been cast back down.
Isa 14:12 How art thou fallen from heaven, O Lucifer, son of the morning! how art thou cut down to the ground, which didst weaken the nations!
Isa 14:13 For
thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of God: I will sit also upon the mount of the congregation, in the sides of the north:
Isa 14:14
I will ascend above the heights of the clouds; I will be like the most High.
Isa 14:17
That made the world as a wilderness, and destroyed the cities thereof; that opened not the house of his prisoners
While it seems that it is clearly stated that God made every last thing in 6 days....
Exo 20:11 For in six days the LORD made heaven and earth, the sea, and all that in them is, and rested the seventh day: wherefore the LORD blessed the sabbath day, and hallowed it.
...the above verse refers to that which was described previously -which was not the creation of the entire universe, Earth, life, etc. "Made" does not necessarily mean initial creation or completion.
God did do what was described in 6 "days" -but you must consider what was described. The heavens and earth were made -then, at some point, THE EARTH HAD BECOME...
(H1961
hâyâh
haw-yaw'
A primitive root (compare H1933); to exist, that is, be
or become, come to pass.....)
...waste and ruin.
What happened next? Making it not waste and ruin (not extremely specific) in preparation for man.... in 6 "days" -that has nothing to to with what happened before the earth had become waste and ruin.
You cannot simply take one verse -it must be referenced with all others.
Isa 28:13 But the word of the LORD was unto them precept upon precept, precept upon precept; line upon line, line upon line; here a little, and there a little; that they might go, and fall backward, and be broken, and snared, and taken.