The Tribulation does not = the wrath. for 1st Thess 5:9 can prove what you want it to, you must show that the tribulation and the wrath they we are not appointed to are one and the same, something you cannot do.
I am glad to asked.
Here are the verses you gave
#1 the first passages 1st Thess 4:16-17 simply says there will be a rapture it doesn;t say when uit will occur. However if you look ast verse 15 it does tell you when the event you call the rapture does occur.
1st Thess 4:15 For this we say unto you by the word of the Lord, that we which are alive and remain unto the coming of the Lord shall not prevent them which are asleep.
It occurs at the coming of Christ which is after the Tribulation not before it. per Matthew 24:29-31, and Mark 13:24-27
Matthew 24:29-31
29 Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of heaven shall be shaken:
30 And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory.
31 And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds from one end of heaven to the other.
Mark 13:24-27
24 But in those days, after this tribulation, the sun will be darkened, and the moon shall not give her light.
25 And the stars of heaven shall fall, and the powers that are in heaven shall be shaken.
26 And they shall see the Son of man coming in the clouds with great power and glory.
#2 1st Cor 15:51-53 says that the rapture is at the last trump but matt 24:29-31 (quoted above) says that there is a trump sounded after the tribulation, the rapture can not be b4 this trump therefore can not be until after the trib is over.
So both the verses you gave actually tell us when the rapture is
#1 at the coming of Christ
#2 at the last trump
Which are both after the tribulation. Proving the rapture itself is after the Tribulation.