Surah Al Hajj Tafseer

الْمُلْكُ يَوْمَيِذٍ لِّلَّهِ يَحْكُمُ بَيْنَهُمْ

The sovereignty on that Day will be that of Allah. He will judge between them.

This is like the Ayat:

مَـلِكِ يَوْمِ الدِّينِ

The Only Owner of the Day of Recompense. (1:4)

الْمُلْكُ يَوْمَيِذٍ الْحَقُّ لِلرَّحْمَـنِ وَكَانَ يَوْماً عَلَى الْكَـفِرِينَ عَسِيراً

The sovereignty on that Day will be the true (sovereignty), belonging to the Most Gracious (Allah), and it will be a hard Day for the disbelievers. (25:26)

فَالَّذِينَ امَنُوا وَعَمِلُوا الصَّالِحَاتِ

So those who believed and did righteous good deeds,

means, their hearts believed in Allah and His Messenger, and they acted in accordance with what they knew; their words and deeds were in harmony.

فِي جَنَّاتِ النَّعِيمِ

in Gardens of Delight.

means, they will enjoy eternal bliss which will never end or fade away