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feat(LinearAlgebra/Dual): identify the range of a dual map#40195

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feat(LinearAlgebra/Dual): identify the range of a dual map#40195
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Adds lemmas identifying the range of f.dualMap with the dual of LinearMap.range f when the dual of the range inclusion is surjective.


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@github-actions github-actions Bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Jun 3, 2026
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github-actions Bot commented Jun 3, 2026

Welcome new contributor!

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github-actions Bot commented Jun 3, 2026

PR summary 4bc2c5adce

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ rangeDualMapLinearEquivDualRangeOfSurjective
+ range_dualMap_eq_range_dualMap_rangeRestrict_of_surjective

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.


No changes to strong technical debt.
No changes to weak technical debt.

Current commit 4bc2c5adce
Reference commit 01e91cd1ce

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).

@github-actions github-actions Bot added the t-algebra Algebra (groups, rings, fields, etc) label Jun 3, 2026
@mathnerdwhouseschatgpt mathnerdwhouseschatgpt marked this pull request as draft June 3, 2026 19:44
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mathlib-bors Bot commented Jun 3, 2026

This pull request is now in draft mode. No active bors state needed cleanup.

While this PR remains draft, bors will ignore commands on this PR. Mark it ready for review before using commands like bors r+ or bors try.

@mathnerdwhouseschatgpt mathnerdwhouseschatgpt marked this pull request as ready for review June 3, 2026 20:20
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