Narrated Abu Juhaifa:
I asked `Ali, "Do you have the knowledge of any Divine Inspiration besides what is in Allah's Book?" `Ali replied, "No, by Him Who splits the grain of corn and creates the soul. I don't think we have such knowledge, but we have the ability of understanding which Allah may endow a person with, so that he may understand the Qur'an, and we have what is written in this paper as well." I asked, "What is written in this paper?" He replied, "(The regulations of) blood-money, the freeing of captives, and the judgment that no Muslim should be killed for killing an infidel."
حَدَّثَنَا أَحْمَدُ بْنُ يُونُسَ، حَدَّثَنَا زُهَيْرٌ، حَدَّثَنَا مُطَرِّفٌ، أَنَّ عَامِرًا، حَدَّثَهُمْ عَنْ أَبِي جُحَيْفَةَ ـ رضى الله عنه ـ قَالَ قُلْتُ لِعَلِيٍّ ـ رضى الله عنه هَلْ عِنْدَكُمْ شَىْءٌ مِنَ الْوَحْىِ إِلاَّ مَا فِي كِتَابِ اللَّهِ قَالَ وَالَّذِي فَلَقَ الْحَبَّةَ وَبَرَأَ النَّسَمَةَ مَا أَعْلَمُهُ إِلاَّ فَهْمًا يُعْطِيهِ اللَّهُ رَجُلاً فِي الْقُرْآنِ، وَمَا فِي هَذِهِ الصَّحِيفَةِ‏.‏ قُلْتُ وَمَا فِي الصَّحِيفَةِ قَالَ الْعَقْلُ وَفَكَاكُ الأَسِيرِ، وَأَنْ لاَ يُقْتَلَ مُسْلِمٌ بِكَافِرٍ‏.‏
Reference     : Sahih al-Bukhari 3047
https://sunnah.com/bukhari:3047
In-book reference     : Book 56, Hadith 253
USC-MSA web (English) reference : Vol. 4, Book 52, Hadith 283
(deprecated numbering scheme)

It was narrated that Abu Juhaifah said:
“I said to 'Ali bin Abu Talib: 'Do you have any knowledge that the people do not have?' He said: 'No, by Allah, we only know what the people know, except that Allah may bless a man with understanding of Qur'an or what is in this sheet, in which are mentioned the rulings on blood money from the Messenger of Allah (ﷺ) and it says that a Muslim should not be killed in retaliation for the murder of disbeliever.'”
حَدَّثَنَا عَلْقَمَةُ بْنُ عَمْرٍو الدَّارِمِيُّ، حَدَّثَنَا أَبُو بَكْرِ بْنُ عَيَّاشٍ، عَنْ مُطَرِّفٍ، عَنِ الشَّعْبِيِّ، عَنْ أَبِي جُحَيْفَةَ، قَالَ قُلْتُ لِعَلِيِّ بْنِ أَبِي طَالِبٍ هَلْ عِنْدَكُمْ شَىْءٌ مِنَ الْعِلْمِ لَيْسَ عِنْدَ النَّاسِ قَالَ لاَ وَاللَّهِ مَا عِنْدَنَا إِلاَّ مَا عِنْدَ النَّاسِ إِلاَّ أَنْ يَرْزُقَ اللَّهُ رَجُلاً فَهْمًا فِي الْقُرْآنِ أَوْ مَا فِي هَذِهِ الصَّحِيفَةِ فِيهَا الدِّيَاتُ عَنْ رَسُولِ اللَّهِ صلى الله عليه وسلم وَأَنْ لاَ يُقْتَلَ مُسْلِمٌ بِكَافِرٍ ‏.‏
Sunan Ibn Majah Bk 21.44
Grade    : Sahih (Darussalam)    
English reference     : Vol. 3, Book 21, Hadith 2658
https://sunnah.com/ibnmajah:2658
Arabic reference     : Book 21, Hadith 2760

(Sharia law is not only based on the Quran, but also on Sahih graded hadiths as well)

It was narrated from 'Amr bin Shu'aib, from his father, from his grandfather, that the Messenger of Allah (ﷺ) said:
“A Muslim should not be killed in retaliation for the murder of a disbeliever.”
حَدَّثَنَا هِشَامُ بْنُ عَمَّارٍ، حَدَّثَنَا حَاتِمُ بْنُ إِسْمَاعِيلَ، حَدَّثَنَا عَبْدُ الرَّحْمَنِ بْنُ عَيَّاشٍ، عَنْ عَمْرِو بْنِ شُعَيْبٍ، عَنْ أَبِيهِ، عَنْ جَدِّهِ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏ "‏ لاَ يُقْتَلُ مُسْلِمٌ بِكَافِرٍ ‏"‏ ‏.‏
Sunan Ibn Majah Bk 21.45
Grade    : Sahih (Darussalam)    
English reference     : Vol. 3, Book 21, Hadith 2659
https://sunnah.com/ibnmajah:2659
Arabic reference     : Book 21, Hadith 2761

It was narrated from Ibn 'Abbas that the Prophet (ﷺ) said:
”A believer should not be killed in retaliation for the murder of a disbeliever, and a person who has a treaty should not be killed during the time of the treaty.”
حَدَّثَنَا مُحَمَّدُ بْنُ عَبْدِ الأَعْلَى الصَّنْعَانِيُّ، حَدَّثَنَا مُعْتَمِرُ بْنُ سُلَيْمَانَ، عَنْ أَبِيهِ، عَنْ حَنَشٍ، عَنْ عِكْرِمَةَ، عَنِ ابْنِ عَبَّاسٍ، عَنِ النَّبِيِّ صلى الله عليه وسلم قَالَ ‏ "‏ لاَ يُقْتَلُ مُؤْمِنٌ بِكَافِرٍ وَلاَ ذُو عَهْدٍ فِي عَهْدِهِ ‏"‏ ‏.‏
Sunan Ibn Majah Bk 21.46
Grade    : Sahih (Darussalam)    
English reference     : Vol. 3, Book 21, Hadith 2660
https://sunnah.com/ibnmajah:2660
Arabic reference     : Book 21, Hadith 2762