feat(LinearAlgebra/Dual): add inf/iInf lemmas for dualCoannihilator for finite dimensional subspaces

[martinwintermath]

Add

• dualCoannihilator_inf_eq proving (W ⊓ W').dualCoannihilator = W.dualCoannihilator ⊔ W'.dualCoannihilator
• dualCoannihilator_iInf_eq proving (⨅ i, W i).dualCoannihilator = ⨆ i, (W i).dualCoannihilator

These lemmas are counterparts to the existing Submodule.dualCoannihilator_sup_eq and Subspace.dualAnnihilator_inf_eq and their indexed version. In contrast to those, the new lemmas need to assume FiniteDimensional for all subspaces.

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[github-actions]

PR summary 3115c381bf

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)

+ dualCoannihilator_iInf_eq
+ dualCoannihilator_inf_eq

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 3115c38).

• +2 new declarations
• −0 removed declarations

+Subspace.dualCoannihilator_iInf_eq
+Subspace.dualCoannihilator_inf_eq

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 3115c381bf
Reference commit 87adeaebd3

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).