Even if Eve had fallen, Adam should have resisted the temptation of Satan through her.
Then God would have given Adam another wife who would have listened to God in this thing.
"Thou shalt be left alone man in the Garden of Eden" was a Satan's lie communicated through Eve.
"I will partake that men might be" was also a Satan's lie spoken by Adam who was deceived by it.
Men might be, and much better too if Adam obeyed the Father. As I said, then he would have had Millennium like conditions right off the bat, and no fall.