feat(Torsion/primaryComponent): restricted surjective map on primaryComponent is surjective

[xgenereux]

Given a surjective linear map between modules φ : M₁ →ₗ[A] M₂, its restriction to primary components

primaryComponent.map P.asIdeal φ : ↥(primaryComponent M₁ P.asIdeal) →ₗ[A] ↥(primaryComponent M₂ P.asIdeal)

is also surjective when P is a non zero prime ideal in a Dedekind domain A and M₁ and M₂ are torsion.

Co-authored-by: María Inés de Frutos Fernández <mariaines.dff@gmail.com>

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• depends on: feat(Torsion/PrimaryComponent): direct sum of primaryComponent on primes is the whole module #37466

[github-actions]

PR summary 92859b95b8

Import changes exceeding 2%

%	File
+16.87%	Mathlib.Algebra.Module.Torsion.PrimaryComponent

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Module.Torsion.PrimaryComponent	1719	2009	+290 (+16.87%)

Import changes for all files

Files	Import difference
Mathlib.Algebra.Module.Torsion.PrimaryComponent	290

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Declarations diff

+ iSupIndep_primaryComponent
+ iSup_primaryComponent_eq_top
+ isInternal_primaryComponent
+ primaryComponent.map_surjective

You can run this locally as follows

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

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

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

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No changes to technical debt.

You can run this locally as

./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).

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(Torsion/PrimaryComponent): direct sum of primaryComponent on primes is the whole module #37466
  By Dependent Issues (🤖). Happy coding!