feat(Topology/Convenient): open/closed subsets that are also X-generated

[joelriou]

Let X : ι → Type* be a family of topological spaces. If all the opens (resp. closed) subsets of the X i are X-generated, then any open (resp. closed) subset of an X-generated space is X-generated.

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[github-actions]

PR summary d480e9ea56

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Topology.Convenient.OpenClosed (new file)	723

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Declarations diff

+ IsClosed.isGeneratedBy
+ IsOpen.isGeneratedBy
+ Topology.IsClosedEmbedding.isGeneratedBy
+ Topology.IsOpenEmbedding.isGeneratedBy

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

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).