feat(LInearAlgebra): predicate version of mem_span_iff_linearCombination

[YaelDillies]

This is necessary after #39582.

From Toric

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There are many more lemmas that will need to be similarly duplicated to accommodate #39582. I personally think it is more reasonable to revert #39582.

[github-actions]

PR summary 2405b600a9

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 (regex)

+ mem_span_setOf_iff_exists_linearCombination

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 2405b60).

• +1 new declarations
• −0 removed declarations

+Finsupp.mem_span_setOf_iff_exists_linearCombination

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 2405b600a9
Reference commit 3e314e5847

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).