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feat(GroupTheory): a characteristic subgroup of a characteristic subgroup is characteristic#34908

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CoolRmal:characteristictrans
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feat(GroupTheory): a characteristic subgroup of a characteristic subgroup is characteristic#34908
CoolRmal wants to merge 1 commit intoleanprover-community:masterfrom
CoolRmal:characteristictrans

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@CoolRmal CoolRmal commented Feb 6, 2026

The main theorem proved in this PR is characteristic_of_characteristic_of_characteristic. If says that if K is a characteristic subgroup of a characteristic subgroup H of G, then K is a characteristic subgroup of G.


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CoolRmal commented Feb 6, 2026

WIP

@github-actions github-actions bot added WIP Work in progress t-algebra Algebra (groups, rings, fields, etc) labels Feb 6, 2026
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github-actions bot commented Feb 6, 2026

PR summary 22d1daa911

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ _root_.MulAut.Characteristic
+ characteristic_of_characteristic_of_characteristic
+ map_subtype_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).

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CoolRmal commented Feb 6, 2026

t-group-theory

@github-actions github-actions bot added the t-group-theory Group theory label Feb 6, 2026
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t-algebra Algebra (groups, rings, fields, etc) t-group-theory Group theory WIP Work in progress

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