chore(GroupTheory/PGroup): to_additivize most of the file

[tb65536]

This PR to_additivizes most of GroupTheory/PGroup.lean.

---

[github-actions]

PR summary 54d3dd7c6a

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ isAddPGroup

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 54d3dd7).

• +65 new declarations
• −0 removed declarations

+IsAddPGroup
+IsAddPGroup.addOrderOf_coprime
+IsAddPGroup.card
+IsAddPGroup.card_eq_or_dvd
+IsAddPGroup.card_modEq_card_fixedPoints
+IsAddPGroup.card_orbit
+IsAddPGroup.comap_of_injective
+IsAddPGroup.comap_of_ker_isAddPGroup
+IsAddPGroup.comap_subtype
+IsAddPGroup.coprime_card_of_ne
+IsAddPGroup.disjoint_of_coprime
+IsAddPGroup.disjoint_of_ne
+IsAddPGroup.dvd_addOrderOf
+IsAddPGroup.exists_addOrderOf_dvd_nsmul
+IsAddPGroup.exists_addOrderOf_eq_nsmul
+IsAddPGroup.exists_card_dvd_nsmul
+IsAddPGroup.exists_card_eq
+IsAddPGroup.exists_exponent_dvd_nsmul
+IsAddPGroup.exists_exponent_eq_nsmul
+IsAddPGroup.exists_fixed_point_of_prime_dvd_card_of_fixed_point
+IsAddPGroup.exists_nsmul_nsmul_eq_zero
+IsAddPGroup.iff_addOrderOf
+IsAddPGroup.iff_card
+IsAddPGroup.index
+IsAddPGroup.isOfFinAddOrder
+IsAddPGroup.ker_isAddPGroup_of_injective
+IsAddPGroup.le_or_disjoint_of_coprime
+IsAddPGroup.map
+IsAddPGroup.mono
+IsAddPGroup.nonempty_fixed_point_of_prime_not_dvd_card
+IsAddPGroup.nontrivial_iff_card
+IsAddPGroup.nsmulEquiv
+IsAddPGroup.nsmulEquiv'
+IsAddPGroup.nsmulEquiv_apply
+IsAddPGroup.nsmulEquiv_symm_apply
+IsAddPGroup.of_bot
+IsAddPGroup.of_card
+IsAddPGroup.of_card_dvd_nsmul
+IsAddPGroup.of_equiv
+IsAddPGroup.of_exponent_dvd_nsmul
+IsAddPGroup.of_injective
+IsAddPGroup.of_nsmul
+IsAddPGroup.of_subsingleton
+IsAddPGroup.of_surjective
+IsAddPGroup.to_addSubgroup
+IsAddPGroup.to_inf_left
+IsAddPGroup.to_inf_right
+IsAddPGroup.to_le
+IsAddPGroup.to_quotient
+IsAddPGroup.to_sup_of_normal_left
+IsAddPGroup.to_sup_of_normal_left'
+IsAddPGroup.to_sup_of_normal_right
+IsAddPGroup.to_sup_of_normal_right'
+IsAddPGroup.zero
+ZModModule.isAddPGroup
+isAddPGroup_iff_addOrderOf_dvd_nsmul
+isAddPGroup_iff_card_dvd_nsmul
+isAddPGroup_iff_exists_addOrderOf_dvd_nsmul
+isAddPGroup_iff_exists_nsmul_nsmul_eq_zero
+isAddPGroup_iff_exponent_dvd_nsmul
+isAddPGroup_iff_exponent_eq_nsmul
+isAddPGroup_iff_isAddPGroup_sum_primeFactors
+isAddPGroup_iff_nsmul_nsmul_eq_zero
+isAddPGroup_iff_primeFactors_card_subset
+isAddPGroup_zero_iff_subsingleton

---

No changes to strong technical debt.
No changes to weak technical debt.

Current commit 54d3dd7c6a
Reference commit 661ab0bdd3

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.py 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).