Can anyone please confirm the hadith "The World is a Prison of the Believer and Paradise for the Kafir" is sahih or not. Please give Reference and check the conditions of it being sahih. Please take your time and work this out slowly. I want to know whether this is really Sahih or Not.
All praise to Allah Swt and blessings on Prophet Muhammad peace be upon him His family and companions.
حَدَّثَنَا قُتَيْبَةُ، حَدَّثَنَا عَبْدُ الْعَزِيزِ بْنُ مُحَمَّدٍ، عَنِ الْعَلاَءِ بْنِ عَبْدِ الرَّحْمَنِ، عَنْ أَبِيهِ، عَنْ أَبِي هُرَيْرَةَ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " الدُّنْيَا سِجْنُ الْمُؤْمِنِ وَجَنَّةُ الْكَافِرِ " . وَفِي الْبَابِ عَنْ عَبْدِ اللَّهِ بْنِ عَمْرٍو . قَالَ أَبُو عِيسَى هَذَا حَدِيثٌ حَسَنٌ صَحِيحٌ .
"The world is a prison for the believer and Paradise for the disbeliever." Tirmidhi 2324,Chapter 36 on Zuhd
Imam Tirmidhi stated this Hadith as Sahih.
Allah Swt and His Messenger knows best.
As user servant has already pointed out, the hadith is really Sahih. The hadith is recorded in Sahih Muslim:
Abu Huraira reported Allah's Messenger (ﷺ) as saying:
The world is a prison-house for a believer and Paradise for a non-believer. (parmalink)
All hadith in Sahih Muslim (and Sahih Bukhari) are Sahih beyond doubt.
Read further about his methodology at about Sahih Muslim
Also read the answer (written for a different question) by user oshirowanen to undersatand the meaning of the hadith - link.