[Merged by Bors] - feat(LinearAlgebra/AffineSpace/AffineSubspace/Defs): nonempty sup

[jsm28]

Add instances that the supremum of two affine subspaces, either one nonempty, is nonempty. These are useful when working with orthogonal projections onto such a supremum.

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[github-actions]

PR summary 39996ca4db

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

+ nonempty_sup_left
+ nonempty_sup_right

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.

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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).

[eric-wieser]

!bench

[leanprover-bot]

Here are the benchmark results for commit 9ddca9d.Found no runs to compare against.

[eric-wieser]

!bench

[leanprover-bot]

Here are the benchmark results for commit 9ddca9d.Found no runs to compare against.

[eric-wieser]

Could you merge master to see if that fixes this?

[eric-wieser]

!bench

[eric-wieser]

To be clear, I've seen people worry about the performance of Nonempty instances in the past, especially when applied to terms that aren't direct applications of type families, and wanted to check that the is no issue here.

[leanprover-bot]

Here are the benchmark results for commit 365b6a2.
There were no significant changes against commit 39996ca.

[github-actions]

File	Instructions	%
build	+6.435⬝10⁹	(+0.00%)
CI run Lakeprof report

[eric-wieser]

bors merge

Thanks!

[mathlib-bors]

Pull request successfully merged into master.

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