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1  Thess.  4:13   But  I would not have you to be ignorant ,brethren ,  concerning them which are asleep , that ye sorrow not , even as others  which have no hope.

1Thess.   4:14  For if we believe that Jesus died and rose again , even so them also which sleep in Jesus will God bring with him.

1  Cor. 15:51   Behold , I show you a mystery ; We shall not all sleep , but we shall all be changed ,

1 Cor.  15:52  In a moment , in the twinkling of an eye , at the last trump : for the trumpet will sound , and the dead shall be raised incorruptable , and we shall be changed.

1 Cor. 15:22 For as in Adam all die , even so in Christ shall all be made alive.

1 Cor. 15:53  For this corruptible must put on incorruption,and this mortal must put on immortality.

Rev. 14:13 And I heard a voice from heaven saying unto me , Write Blessed are the dead which die in the Lord from henceforth : Yea, saith the spirit , that they may rest from their labours : and their works do follow them.

Thess. 4:17  Then we which are alive and remain shall be caught up together with them in the clouds , to meet the Lord in the air : and so shall we ever be with the Lord.

1 Cor. 15:23  But every man in his own order : Christ the firstfruits ; afterward they that are Christ's at his coming.

1 Cor. 15:36  thou fool , that which thou sowest is not quickened , except it die.

1 Cor. 15:54  So when this corruptible shall have put on incorruption , and this mortal shall have put on immortality , then shall be brought to pass the saying that is written , Death is swallowed up in victory.

1 Cor.  15:55 O death , where is thy sting ? O grave , where is thy victory?

Rather than a vanishing of believers as many preach, look for a situation that the dead in Christ rise,than the believers which are alive and remain on earth being  caught up into the air at their death,without having to sleep , in a moment and a twinkling of an eye.But every man in his own order.In adam all die.Death not being annulled until The great white throne judgement ,             

Rev. 20:14. "And death and hell were cast into the lake of fire. This is the second death."   As far as the believers dissapearing , the rest being left to the evil of the anti-christ as some teach , look to  St. John  17:15  " I pray not that thou shouldest take them out of the world , but that thou shouldest keep them from the evil."