Final answer:
Old Major's ideals that should prevail after the rebellion are centered on equality and unity, aligning with historic revolutionary goals of liberty, equality, and classless society.
Step-by-step explanation:
The ideals outlined by Old Major that should prevail after the rebellion are equality and unity. These ideals are reflective of the broader revolutionary aims prevalent during various historical upheavals, including the French Revolution with its rallying cry of 'Liberty, Equality, Fraternity', and the Marxist revolution inspired by Karl Marx's vision of a society enjoying peace, justice, freedom, and equal distribution of resources without economic classes. Notions of liberty and equality were championed as ways to ensure that every individual in society has a fair chance to prosper without facing undue restrictions or class-based barriers.