Commit 2021-08-18 10:32 6bd6c11b
View on Github →refactor(field_theory,ring_theory): generalize adjoin_root.equiv to power_basis
(#8726)
We had two proofs that A
-preserving maps from A[x]
or A(x)
to B
are in bijection with the set of conjugate roots to x
in B
, so by stating the result for power_basis
we can avoid reproving it twice, and get some generalizations (to a comm_ring
instead of an integral_domain
) for free.
There's probably a bit more to generalize in adjoin_root
or intermediate_field.adjoin
, which I will do in follow-up PRs.