Are those not making Qurban have to go Idul Adha prayer without having breakfast?

If we don't make qurban or don't have qurban animals to eat at Eid al-Adha, is it still advisable to eat (breakfast) before Eid al-Adha prayers?
From 'Abdullah bin Buraidah, from his father, he said,
 
كَانَ رَسُولُ اللَّهِ -صلى الله عليه وسلم- لاَ يَغْدُو يَوْمَ الْفِطْرِ حَتَّى يَأْكُلَ وَليه وسلم- لاَ يَغْدُو يَوْمَ الْفِطْرِ حَتَّى يَأْكُلَ وَلاَ يَأْكُلُ عيَن
"The Messenger of Allah -peace and prayer of Allah be upon him- used to go to the 'Ied prayer on the day of Eid al-Fithri and he ate first. Meanwhile, on the day of Eid al-Adha, he does not eat first, except after returning from the 'Ied prayer, then he will eat the results of his qurban. " (Narrated by Ahmad, 5: 352. Shaykh Syu'aib Al-Arnauth said that this hadith is hasan).
 
People who go to the id prayer cannot be separated from two possibilities, having qurban animals, not having sacrificial animals.
 
First, who has a sacrificial animal, agreed the scholars, it is sunnah for him to postpone eating on Eid al-Adha. It is recommended that he later break the fast by eating the heart of his qurban animal. This is based on the hadith from Buraidah radhiyallahu 'anhu, he said,
وَكَانَ إِذَا رَجَعَ أَكَلَ مِنْ كَبِدِ أُضْحِيَتِهِ
"When the Prophet sallallaahu 'alaihi wa sallam returns, he will eat from the heart of his sacrificial animal." (Narrated by Al-Baihaqi in As-Sunan Al-Kubra, 3: 283)
 
Second, who do not have qurban animals, jumhur ulama (majority of ulama: Hanafiyah ulama, Malikiyah ulama, an expression of Shafi'iyah), are praised to continue to postpone eating (until the id prayer).
Meanwhile, the scholars of Hambali, for those who do not have qurban animals, it is okay to eat before prayer or after. From the Buraidah hadith mentioned above, the scholar Hambali said that if you don't have a sacrificial animal, it is okay to eat beforehand.


A few notes

• Almsgiving on the day of Eid al-Adha is the bakda prayer in the form of qurban, so it is mandatory to associate with poor people to eat the results of qurban after prayer.
• On the day of Eid al-Adha it is not forbidden to eat before prayer, it is only forbidden to eat. So if anyone thinks it is compulsory not to eat, that is clearly wrong.
• Refrain from breakfast can only be limited to the sacrificial animal is slaughtered and eaten, and if possible. If the qurban animal is still in the process of slaughtering it until noon, then it is okay to eat breakfast bakda praying id, even though it does not come with the results of the qurban.
• For those who do not have qurban to eat after the id prayer, it doesn't matter if they eat breakfast before the id prayer. But if he wants to carry out the sunnah of the prophet sallallaahu 'alaihi wa sallam not to eat before the id prayer as in the textual hadith (whether you have qurban or not), please don't eat. After the Id prayer, you can come back for breakfast.

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