Add 09GY lemma to AlgebraicClosure.lean #4
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PR summary bb960f36cImport changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diff
You can run this locally as follows## summary with just the declaration names:
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## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for |
mbkybky
reviewed
Aug 29, 2024
| @@ -416,4 +416,25 @@ instance [CharZero k] : CharZero (AlgebraicClosure k) := | |||
| instance {p : ℕ} [CharP k p] : CharP (AlgebraicClosure k) p := | |||
| charP_of_injective_algebraMap (RingHom.injective (algebraMap k (AlgebraicClosure k))) p | |||
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| /-09GY Lemma: Two polynomials in $k[x]$ are relatively prime | |||
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- Write
/--instead of/-, as this will generate comments on the Mathlib documentation website. - There's no need to write “09GY Lemma:”; just mark the Stacks tag on the last line.
| /-09GY Lemma: Two polynomials in $k[x]$ are relatively prime | ||
| precisely when they have no common roots in an algebraic closure $\overline{k}$ of $k$. | ||
| [Stacks: Lemma 09GY](https://stacks.math.columbia.edu/tag/09GY) -/ | ||
| lemma IsComrime_iff_no_common_root {k : Type*} [Field k] {p q : Polynomial k} : |
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The name should change to isComrime_iff_no_common_root. You can read naming conventions to know how to name theorems correctly.
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We added lemma that 'Two polynomials in$k[x]$ are relatively prime precisely when they$\overline{k}$ of $k$ .' into Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure.lean .
have no common roots in an algebraic closure
It could only be an application of algebraic closure, and may be placed elsewhere.
Co-authored-by: Yi Song [email protected]