Arcana Coelestia #476
476. That 'male and female' means the marriage of faith and love has been stated and shown already. That is to say, 'male' or man (vir) means the understanding and what belongs to the understanding, and so what belongs to faith, while 'female' means the will, or what belongs to the will, and so what belongs to love. This also is why she was called Eve, from a word meaning life, which belongs to love alone. 'Female' therefore also means the Church, as also shown already, and 'male' the man (vir) of the Church. At present the subject is the state of the Church at the time it was spiritual and shortly to become celestial, which is why the word 'male' comes first, as it does also in 1:26-27. Furthermore the expression 'to create' has regard to the spiritual man. As soon however as that marriage has taken place, that is, the Church has become celestial, it is no longer called 'male and female' but 'Man' (Homo) who by virtue of the marriage means both. Consequently 'and He called their name Man', which means the Church, follows next.
Arcana Coelestia #1023
1023. That 'and I, behold I am establishing My covenant' means the Lord's presence in charity becomes clear from the meaning of 'a covenant', dealt with in 666, where it was shown that 'a covenant' means regeneration, and in particular the conjunction of the Lord with a regenerate person by means of love. It was also shown there that the heavenly marriage is the actual covenant itself, and that consequently the heavenly marriage exists with every regenerate person. The nature of this marriage or covenant has also been shown already.
[2] The heavenly marriage with the member of the Most Ancient Church existed in the area of his own will, but the heavenly marriage with the member of the Ancient Church came into existence in the area of his own understanding. Actually when the will part of man's mind had become utterly corrupted, the Lord in miraculous fashion separated the area of his own understanding from that corrupted will part, and within the area of man's own understanding He formed a new will, which is conscience. Into conscience He infused charity, and into charity innocence, and in this manner joined Himself to man, or what amounts to the same, established a covenant with him.
[3] To the extent that the area of a person's own will can be separated from this understanding part the Lord is able to be present with him, that is, to join Himself or establish a covenant with him. Temptations and similar means of regeneration render inactive the area of a person's own will, so that it is reduced to nothing and so to speak dies. To the extent that this happens the Lord can operate within charity by means of conscience implanted in the area of a person's own understanding. This is what is called 'a covenant' here.