The Jurisprudential Significance of the Ḥadīth: "Whoever says, at the conclusion of the Fajr Prayer, while crossing his legs, before speaking..."
"Whoever says, at the conclusion of the Fajr prayer, while crossing his legs, before speaking: 'Lā ilāha illā Allāh, waḥdahu lā sharīka lah, lahu al-mulku wa lahu al-ḥamdu yuḥyī wa yumītu wa huwa ʿalā kulli shayʾin qadīr' ten times — ten good deeds will be recorded for him, ten bad deeds will be erased from him, he will be raised ten levels, he will spend that day in protection from everything disliked and guarded from the devil, and no sin will be able to befall him on that day except associating partners with Allah" — does this noble ḥadīth apply to the imam, and what is meant by "extraneous speech"?
All praise is due to Allah, and peace and blessings be upon our master the Messenger of Allah ﷺ.
It is recommended for both the imam and those praying behind him to recite, immediately after the final salām, the specific remembrance reported in the sunnah to be said before turning away from one's place of prayer. The imam then leaves his praying spot, and the act of "turning" is fulfilled when the imam faces the congregation — even without physically leaving his spot — by positioning his right side toward them and his left side toward the qiblah, and this applies even while he is engaged in supplication.
Al-ʿAllāmah Ibn Qāsim al-ʿAbbādī states in his Ḥāshiyah ʿalā al-Tuḥfah (Vol.2/P.105): "It is most virtuous for the imam, once he has given the salām, to rise from his place of prayer immediately afterward." He adds that an exception must be made for the remembrances that are specifically required to be recited before he turns away. He then notes, citing Sharḥ al-ʿUbāb: "Yes, an exception to this rising immediately after the salām applies to the Fajr prayer, due to the authentic report that the Prophet ﷺ, when he prayed Fajr, would remain seated until the sun rose." He further cites, from al-Khādim, the ḥadīth concerning one who recites, at the conclusion of the Fajr prayer while still in the position of crossing his leg to rise: "Lā ilāha illā Allāh, waḥdahu lā sharīka lah..." and the rest of the well-known ḥadīth. He comments that this makes explicit that this particular remembrance is to be recited before the worshipper turns his legs to leave, and the same applies to Maghrib and ʿAṣr, as reported in those contexts as well.
What is meant by "speech" in the relevant ḥadīth is extraneous worldly speech that is not called for after the prayer and for which there is no legitimate excuse. The remembrances reported to be recited upon concluding the prayer, however, do not fall under this category of extraneous speech, since they are themselves required by the sharīʿah.
Al-ʿAllāmah ʿAlī al-Shabrāmalsī states in his Ḥāshiyah ʿalā al-Nihāyah (Vol.1/P.551): "If someone greets a person with salām while he is occupied with reciting this remembrance [i.e., 'Lā ilāha illā Allāh...'], should he return the greeting — without this causing him to forfeit the promised reward, since he is engaged in an obligatory matter — or should he delay returning the greeting until he finishes, this being a legitimate excuse for the delay?" He continues: "I say: the more likely view is the former, and the prohibition on speech is to be understood as applying to extraneous speech for which there is no legitimate excuse. Based on this, should the worshipper give precedence to this remembrance ('Lā ilāha illā Allāh...') or to reciting Sūrat al-Ikhlāṣ ('Qul huwa Allāhu aḥad')? This requires consideration, though it is not unlikely that the remembrance takes precedence, given that the Lawgiver urged hastening to it through his words 'while crossing his leg.' This is not considered ordinary speech, since it is not extraneous to what is required after the prayer."
Accordingly, it is recommended for both the imam and those praying behind him to recite this remembrance and to give it precedence over the other remembrances of the prayer, ensuring it is said before they move from their place. And Allah the Almighty knows best.
Is it permissible for one who sacrifices on behalf of another, with the latter's permission, to eat from the sacrifice?
It is permissible for someone who sacrificed on behalf of another with their permission to eat from it with their permission, and they stand in their place (act as their representative) in distributing it.
It is stated in Nihayat al-Muhtaj ila Sharh al-Minhaj (Vol.8/P.141): "And he—meaning the one sacrificing on his own behalf, provided he has not apostatized—has the right to eat from a voluntary sacrifice and his sacrificial gift; rather, it is recommended. As for an obligatory sacrifice, it is forbidden for him to eat from it, whether it was designated as such initially or as a liability in his dhimmah. And excluded by what has preceded is if he sacrifices on behalf of another, or if he apostatized, then it is not permissible for him to eat from it, just as it is absolutely impermissible to feed a disbeliever from it."(The text I found indicates the impermissibility of eating) ???
And it is stated in Hashiyat al-Jamal ‘ala Sharh al-Manhaj (Vol.5/P.262): "If a person offers a sacrifice on behalf of a living person with their permission, does he act as their representative in distributing it—on the grounds that permission to sacrifice is permission to distribute it—or does it depend on their explicit permission? This requires consideration, but the first view is not far-fetched." And Allah the Almighty knows best.
What is the ruling on istinja' after urination, and is it done with water and soap or with water only?
Istinja' from urine and stool is obligatory. It is permissible to perform istinja' with water alone, or with toilet paper alone. The best way is with toilet paper then water. If one wishes to suffice with one of them, then water is better. And Allah the Almighty knows best.
What is the ruling on congratulating others on the arrival of Ramadan?
Congratulating others on the arrival of Ramadan is permissible.
If someone does it to express their love for worship and the blessings of Ramadan, and congratulates their fellow Muslim, they have done something good.
The Prophet ﷺ said: "Shall I not tell you something that, if you do it, you will love one another? Spread peace (Salam) among yourselves." [Narrated by Muslim]
Giving Salam is a prayer for peace and safety.
