chore(RingTheory/Localization): mirror tensor product compatibilities and golf

[chrisflav]

We add a mirrored version of IsLocalization.tensorProduct_tensorProduct and some related isomorphisms. We use this to golf the proof of RingHom.locally_isStableUnderBaseChange.

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[github-actions]

PR summary 718d4e20c0

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ IsLocalization.Away.tensorProductEquivTMulRight
+ IsLocalization.Away.tensorProductEquivTMulRight_tmul
+ IsLocalization.tensorProductEquivOfMapIncludeRight
+ IsLocalization.tensorProductEquivOfMapIncludeRight_tmul
+ IsLocalization.tensorProduct_tensorProduct_right
+ IsStableUnderBaseChange.tensorProduct
+ Locally.span_eq_top
+ isScalarTower_localizationAlgebra
+ locally_iff_span_eq_top
- instance : IsScalarTower R (Localization M) (Localization (Algebra.algebraMapSubmonoid S M))

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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Increase in tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type
6511	1	backward.isDefEq.respectTransparency

Current commit 9bd9eabba9
Reference commit 718d4e20c0

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).