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[Merged by Bors] - feat(field_theory/minpoly/basic): minpoly is unaffected by injective alg_homs #19030

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@eric-wieser eric-wieser added awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. t-algebra Algebra (groups, rings, fields etc) labels May 17, 2023
lemma minpoly_alg_hom (f : B →ₐ[A] B') (hf : function.injective f) (x : B) :
minpoly A (f x) = minpoly A x :=
begin
rw [minpoly, minpoly],
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Maybe there's a way to prove this without unfolding, but this was pretty easy anyway.

@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label May 17, 2023
@riccardobrasca
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Thanks!

bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels May 18, 2023
bors bot pushed a commit that referenced this pull request May 18, 2023
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bors bot commented May 18, 2023

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@bors bors bot changed the title feat(field_theory/minpoly/basic): minpoly is unaffected by injective alg_homs [Merged by Bors] - feat(field_theory/minpoly/basic): minpoly is unaffected by injective alg_homs May 18, 2023
@bors bors bot closed this May 18, 2023
@bors bors bot deleted the eric-wieser/minpoly_alg branch May 18, 2023 10:38
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