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[Merged by Bors] - feat (RingTheory/HahnSeries/Summable) add pointwise product operation#18794

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[Merged by Bors] - feat (RingTheory/HahnSeries/Summable) add pointwise product operation#18794
ScottCarnahan wants to merge 3 commits intomasterfrom
ScottCarnahan/FamilyMul

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@ScottCarnahan ScottCarnahan commented Nov 9, 2024

This PR defines a pointwise product operation on summable families of Hahn series, and shows that the formal sum of the pointwise product is equal to the product of formal sums. This is preparation for defining algebra homomorphisms from power series rings.


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@ScottCarnahan ScottCarnahan added the t-algebra Algebra (groups, rings, fields, etc) label Nov 9, 2024
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github-actions bot commented Nov 9, 2024

PR summary 12d822a1f2

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ finite_co_support_prod_mul
+ hsum_mul
+ instance [Zero R] [SMulWithZero R V] : SMul R (SummableFamily Γ' V β)
+ isPWO_iUnion_support_prod_mul
+ mul
+ mul_coeff
+ mul_eq_smul
+ smul
+ smul_coeff
+ smul_hsum

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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Thanks 🎉

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Dec 3, 2024
mathlib-bors bot pushed a commit that referenced this pull request Dec 3, 2024
…#18794)

This PR defines a pointwise product operation on summable families of Hahn series, and shows that the formal sum of the pointwise product is equal to the product of formal sums.  This is preparation for defining algebra homomorphisms from power series rings.
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mathlib-bors bot commented Dec 3, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat (RingTheory/HahnSeries/Summable) add pointwise product operation [Merged by Bors] - feat (RingTheory/HahnSeries/Summable) add pointwise product operation Dec 3, 2024
@mathlib-bors mathlib-bors bot closed this Dec 3, 2024
@mathlib-bors mathlib-bors bot deleted the ScottCarnahan/FamilyMul branch December 3, 2024 15:01
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3 participants