feat: abstract theory of measures

[loefflerd]

General foundations of non-archimedean measure theory (intended for applications to Iwasawa algebras)

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[github-actions]

PR summary b2a174f69c

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.NumberTheory.Padics.Measure.Basic (new file)	1957
Mathlib.NumberTheory.Padics.Measure.Group (new file) Mathlib.NumberTheory.Padics.Measure.Topology (new file)	1958

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Declarations diff

+ AbstractMeasure
+ ContinuousLinearMap.lcomp
+ ContinuousLinearMap.llcomp
+ ContinuousMap.comapCLM
+ ContinuousMap.comapCLM_apply
+ ContinuousMap.prodMul
+ ContinuousMap.prodMul_apply
+ ContinuousMap.tensorHom
+ StrongTopology
+ WeakTopology
+ add_apply
+ contractFst
+ contractFstCLM
+ contractFstCLM_apply
+ contractFst_apply
+ contractFst_dirac
+ contractSnd
+ contractSndCLM
+ contractSndCLM_apply
+ contractSnd_apply
+ contractSnd_dirac
+ convolveFunRight
+ convolveFunRight_apply
+ convolveFunRight_apply_one
+ convolveFunRight_dirac_apply
+ convolveFunRight_mul
+ convolveFunRight_one
+ dirac
+ dirac_apply
+ dirac_mul_dirac
+ instance : AddCommGroup (AbstractMeasure X R E)
+ instance : AddMonoidWithOne D(G, R) where one := dirac R 1
+ instance : Algebra R D(G, R) := Algebra.ofModule smul_mul_assoc mul_smul_comm
+ instance : ContinuousLinearMapClass (AbstractMeasure X R E) R C(X, R) E
+ instance : FunLike (AbstractMeasure X R E) C(X, R) E
+ instance : IsScalarTower R D(G, R) D(G, R) where smul_assoc _ _ _ := by ext; simp [mul_apply]
+ instance : Module D(G, R) C(G, R)
+ instance : Module R (AbstractMeasure X R E)
+ instance : NonAssocRing D(G, R)
+ instance : NonUnitalNonAssocRing D(G, R)
+ instance : NonUnitalRing D(G, R)
+ instance : Norm (AbstractMeasure X R E)
+ instance : Ring D(G, R)
+ instance : SMulCommClass R D(G, R) D(G, R) where smul_comm _ _ _ := by ext; simp [mul_apply]
+ instance [CommMagma G] [ContinuousMul G] : NonUnitalNonAssocCommRing D(G, R)
+ instance [CommMonoid G] [ContinuousMul G] : CommRing D(G, R)
+ instance [CommSemigroup G] [ContinuousMul G] : NonUnitalCommRing D(G, R)
+ map
+ map_apply
+ map_dirac
+ mul_apply
+ one_apply
+ prodMk
+ prodMk'
+ prodMk'_apply
+ prodMk'_flip
+ prodMk'_prod_apply
+ prodMk_apply
+ prodMk_eq_prodMk'
+ prodMk_prod_apply
+ smul_apply

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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No changes to technical debt.

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).