וַיִּקְרָ֧א הָֽאָדָ֛ם שֵׁ֥ם אִשְׁתּ֖וֹ חַוָּ֑ה כִּ֛י הִ֥וא הָֽיְתָ֖ה אֵ֥ם כָּל־חָֽי׃
И дал человек своей жене имя Ева, ибо она стала матерью всех живущих.
Targum Jonathan
And Adam called the name of his wife Hava, because she is the mother of all the children of men.
Tafsir Rasag
And Adam named his wife Eve because she was the mother of all living, speaking beings