feat(RingTheory/AdjoinRoot): more on `AdjoinRoot' of monic polynomials

[BryceT233]

This PR adds some missing basic API for AdjoinRoot p where p is a monic polynomial.

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[github-actions]

PR summary 4448dff6f1

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff (regex)

+ faithfulSMul_of_monic_of_degree_pos
+ isIntegral_of_monic
+ isLocalHom_of_monic_of_degree_pos
+ nontrivial_iff_of_monic
+ of.injective_of_monic_of_degree_pos

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit 4448dff).

• +5 new declarations
• −0 removed declarations

+AdjoinRoot.faithfulSMul_of_monic_of_degree_pos
+AdjoinRoot.isIntegral_of_monic
+AdjoinRoot.isLocalHom_of_monic_of_degree_pos
+AdjoinRoot.nontrivial_iff_of_monic
+AdjoinRoot.of.injective_of_monic_of_degree_pos

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 4448dff6f1
Reference commit e59d9d4058

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).