[Merged by Bors] - feat(RingTheory): predicate on satisfying Zariski's main theorem

[erdOne]

---

[github-actions]

PR summary c1d772d632

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.RingTheory.ZariskisMainTheorem (new file)	1526

---

Declarations diff

+ ZariskisMainProperty
+ ZariskisMainProperty.of_isIntegral
+ ZariskisMainProperty.restrictScalars
+ ZariskisMainProperty.trans
+ awayMap_injective_iff
+ awayMap_surjective_iff
+ le_saturation
+ map_injective_iff
+ map_surjective_iff
+ mem_saturation_iff
+ mem_saturation_of_mul_mem_left
+ mem_saturation_of_mul_mem_right
+ saturation
+ saturation_saturation
+ zariskisMainProperty_iff
+ zariskisMainProperty_iff'
+ zariskisMainProperty_iff_exists_saturation_eq_top

You can run this locally as follows

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

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

You can run this locally as

./scripts/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).

[github-actions]

✅ PR Title Formatted Correctly

The title of this PR has been updated to match our commit style conventions.
Thank you!

[joelriou]

Thanks!

bors merge

[mathlib-bors]

Timed out.

[joelriou]

Retrying...

bors merge

[mathlib-bors]

Canceled.

[erdOne]

I just merged master. Hopefully it will work better.
Might need to re-bors though.

[bryangingechen]

bors r+

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• Build
• Lint style
• Post-Build Step