פּירוש אויף בראשית 3:20

ויקרא האדם AND THE MAN CALLED — Scripture now reverts to its previous topic (Genesis 2:20) beginning with “and the man gave names”. It broke it off (that is, interpolated the story of the serpent) only to tell you that through the giving of names Eve became his mate, as it is written (Genesis 2:20) “but for Adam there was not found a help meet for him,” and that therefore “the [Lord God] caused to fall a deep sleep upon him” and formed Eve. But because Scripture writes at the end of the story of creation of Eve (Genesis 2:25), “and they were both naked”, it therefore follows on with the passage dealing with the serpent, to inform you that because he saw her nakedness and that they displayed no feeling of shame in their actions, he desired her, and he came upon them with his evil plan and with deceit.

ויקרא האדם, when Chavah had originally been placed before him, he had named her just as he had named all the animals, the name חוה, however, was her individual name, not the name of the female of the human species. It is possible to explain that after Adam and his wife had eaten from the tree of knowledge, Adam gave her this name, seeing that due to having eaten from that tree, their libido had been awakened, and they knew that they would reproduce themselves. This is why Adam added: אם כל חי, the meaning of the word חי here referring to the kind of living creatures who possessed the power of speech. Generic names for human beings such as חי here, are also found in Psalms 145,21 ויברך כל בשר, where David does not refer to the animals blessing the name of G’d, but only to the human species doing this. The same applies to Isaiah 66,23 יבא כל בשר, where the prophet predicts that all of humanity in those days will come once a month to Jerusalem or even weekly, to pay their respects to the Lord in Jerusalem. [probably those living near Jerusalem will come once a week, whereas those living farther away will come only once a month. Ed.] The letter ו in the word חוה instead of the letter י was to distinguish her from the beasts of the field.

חוה, she is a necessary requirement for the human species to continue life on earth.