To what extent is it correct to say that the conditions for the pledge of allegiance (bay'ah) include the Muslim ruler inheriting kingship from his father, or killing a ruler before him to establish his authority, or entering a land by force of arms, as stated in "Lum'at al-I'tiqad" on the authority of Malik?

Ibn Qudamah, in 'Lum'at al-I'tiqad', does not quote Malik directly, but he states that whoever assumes the Caliphate and gains the consensus of the people, or conquers them by force, obedience to him becomes obligatory. Ibn Uthaymeen clarified that the Caliphate is established by one of three means: designation by the previous Caliph, consensus of the people of authority and influence (Ahl al-Hall wal-Aqd), or by overwhelming force and conquest, which is what the Companions (Sahabah) unanimously agreed upon. Ibn Hajar transmitted from Ibn Battal the consensus of the jurists on the obligation of obeying the ruler who gains power by force, except in cases of clear disbelief (kufr sareeh).