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feat(field_theory/normal): characterizations of a normal intermedate field#18925
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feat(field_theory/normal): characterizations of a normal intermedate field#18925
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I wonder if it would be better to phrase these results in terms of the normal closure that I defined in #18859. Here's what I came up with: normal_closure...normal_iff In particular, it seems to make the 3 -> 1 proof much cleaner ( |
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Ah, that does seem a lot cleaner. I'll close this PR and delete this branch then, and you can PR your proofs later. |
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Add equivalent characterizations for an intermediate field in a normal field extension to be normal over the base field.
In particular, this can be used to show that normal extensions correspond to normal subgroups in the Galois correspondence.