feat(AffineSpace): toAffineSubspace lemmas

[vlad902]

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[github-actions]

PR summary d218829e52

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)

+ affineSpan_eq_span_iff_zero_mem
+ coe_toAffineSubspace
+ dim_toAffineSubspace
+ finDim_toAffineSubspace
+ toAffineSubspace_ne_bot

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 d218829).

• +5 new declarations
• −0 removed declarations

+AffineSubspace.dim_toAffineSubspace
+AffineSubspace.finDim_toAffineSubspace
+AffineSubspace.toAffineSubspace_ne_bot
+Submodule.coe_toAffineSubspace
+affineSpan_eq_span_iff_zero_mem

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

Current commit d218829e52
Reference commit 9b46e33ce0

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.py 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).

[vlad902]

Note that the previous coercion version of this lemma is now by simp.