[Merged by Bors] - feat(field_theory/adjoin): Generalize alg_hom_mk_adjoin_splits to infinite sets #5860
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This PR uses Zorn's lemma to generalize
alg_hom_mk_adjoin_splits
to infinite sets.The proof is rather long, but I think that the result is worth it. It should allow me to prove that if E/F is any normal extension then any automorphism of F lifts to an automorphism of E.