Arcana Coelestia # 2325
2325. 'And Lot saw' means [their] conscience - that is to say, the conscience of those with whom the good of charity exists but whose worship is external. This becomes clear from the meaning of 'seeing'. 'Seeing' in the Word means understanding, see 897, 1584, 1806, 1807, 2150. In the internal sense however 'seeing' means having faith, a meaning which will in the Lord's Divine mercy be discussed at Genesis 29:32. The reason why conscience is meant here is that people who have faith have conscience as well. Conscience is inseparable from faith, so inseparable in fact that it makes no difference whether you speak of faith or of conscience. By faith is meant faith through which charity comes, and which derives from charity. This being so, it is charity itself, for faith without charity is not faith at all. And just as faith is not possible without charity, neither is conscience possible without it.
Arcana Coelestia # 2150
2150. 'And he saw' means when He recognized this. This is clear from the meaning in the internal sense of 'seeing' as understanding and recognizing, and also of becoming enlightened, dealt with in 1584. Nothing is more common in the Word than for 'seeing' to have such meanings Here the meaning is that He recognized the presence of perception from the Divine, as just stated.