feat(NumberTheory/NumberField/Completion/FinitePlace): compatibility of finite places across an algebra map

[tb65536]

Given an extension of finite places, this PR proves compatibility across an algebra map. Eventually it would be nice to have a version stated purely in terms of FinitePlace, but we are lacking the ramification theory of finite places required for this (I have larger plans to do ramification theory for absolute values more generally, but this will take some time).

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[github-actions]

PR summary 7a14eabe66

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.NumberTheory.NumberField.Completion.FinitePlace	3170	3171	+1 (+0.03%)

Import changes for all files

Files	Import difference
5 files Mathlib.AlgebraicGeometry.EllipticCurve.LFunction Mathlib.NumberTheory.Height.NumberField Mathlib.NumberTheory.NumberField.Completion.FinitePlace Mathlib.NumberTheory.NumberField.FinitePlaces Mathlib.NumberTheory.NumberField.ProductFormula	1

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Declarations diff (regex)

+ equivHeightOneSpectrum_symm_apply_algebraMap

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 7a14eab).

• +1 new declarations
• −0 removed declarations

+NumberField.FinitePlace.equivHeightOneSpectrum_symm_apply_algebraMap

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 7a14eabe66
Reference commit a33a5ccd63

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.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).