feat(RingTheory/AugmentationIdeal): base change for augmentation ideals

[AntoineChambert-Loir]

Base change for augmentation ideals

Co-authored with: @mariainesdff

---

• depends on: feat(RingTheory/Ideal/IsAugmentation): define the concept of an augmentation ideal #37744

[github-actions]

PR summary 7b476a174e

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.RingTheory.IsAugmentation (new file)	1169

---

Declarations diff

+ Algebra.TensorProduct.map_includeRight_eq_range_baseChange
+ Algebra.baseChange_bot
+ DistribLattice.isCompl_assoc_of_disjoint
+ Ideal.isHomogeneous
+ Ideal.span_isHomogeneous
+ Ideal.span_isHomogeneous'
+ IsAugmentation
+ LinearMap.isCompl_baseChange
+ LinearMap.isCompl_rTensor
+ Subalgebra.codisjoint_bot_iff
+ Subalgebra.disjoint_bot_iff
+ Subalgebra.isHomogeneous
+ Subalgebra.mem_bot_iff
+ Subalgebra.restrictScalars_toSubmodule_bot
+ Subalgebra.span_isHomogeneous
+ Submodule.codisjoint_map
+ Submodule.disjoint_map
+ Submodule.isCompl_assoc_of_disjoint
+ Submodule.isCompl_map
+ TensorProduct
+ codisjoint_restrictScalars_iff
+ disjoint_left
+ disjoint_restrictScalars_iff
+ disjoint_right
+ isAugmentation_baseChange
+ isAugmentation_subalgebra_iff
+ isAugmentation_tensorProduct
+ isCompl_lTensor
+ isCompl_left_left
+ isCompl_left_top
+ isCompl_restrictScalars_iff
+ isCompl_right_top
+ ker_baseChange_of_linearProjOfIsCompl
+ ker_lTensor_of_linearProjOfIsCompl
+ ker_rTensor_of_linearProjOfIsCompl
+ mono_left
+ mono_right
+ sup_left
+ sup_restrictScalars
+ sup_right
+ top_top

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.

---

Increase in tech debt: (relative, absolute) = (3.00, 0.00)

Current number	Change	Type
642	3	erw

Current commit 8cc7d902a0
Reference commit 7b476a174e

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(RingTheory/Ideal/IsAugmentation): define the concept of an augmentation ideal #37744
  By Dependent Issues (🤖). Happy coding!