Arcana Coelestia#4838
4838. 'So that he should not provide seed for his brother' means that this being so there was no continuation. This is clear from the meaning of 'providing seed for a brother', or performing the duty of a husband's brother, as continuing that which constitutes the Church, dealt with above in 4835, which shows that 'not providing seed for his brother' means that, this being so, there was no continuation.