The Examples of Noah/Lot and the Rapture

The examples of Noah and Lot are connected with the Rapture doctrine by Jesus:

Luk 17:26 And as it was in the days of Noe, so shall it be also in the days of the Son of man.
Luk 17:27 They did eat, they drank, they married wives, they were given in marriage, until the day that Noe entered into the ark, and the flood came, and destroyed them all.
Luk 17:28 Likewise also as it was in the days of Lot; they did eat, they drank, they bought, they sold, they planted, they builded;
Luk 17:29 But the same day that Lot went out of Sodom it rained fire and brimstone from heaven, and destroyed them all.
Luk 17:30 Even thus shall it be in the day when the Son of man is revealed.
Luk 17:31 In that day, he which shall be upon the housetop, and his stuff in the house, let him not come down to take it away: and he that is in the field, let him likewise not return back.
Luk 17:32 Remember Lot's wife.

In both passages, Jesus makes the point that the righteous are with the unrighteous right up to the time of judgment. Noah went into the ark because of the flood and Lot went out of the city moments before fire fell from Heaven on Sodom.

How does this relate to the rapture? This text about one in the field being taken is directly connected to this passage:

Luk 17:33 Whosoever shall seek to save his life shall lose it; and whosoever shall lose his life shall preserve it.
Luk 17:34 I tell you, in that night there shall be two men in one bed; the one shall be taken, and the other shall be left.
Luk 17:35 Two women shall be grinding together; the one shall be taken, and the other left.
Luk 17:36 Two men shall be in the field; the one shall be taken, and the other left.

Jesus is specifically rejecting the re-tribulational rapture doctrine by the timing of his comments. The church is taken to be with the Lord at the judgment of the Earth. They are not part of the destruction that comes with judgment. There is no 7 year period between the two events.