feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0 and prespectral, then X is T2 in the constructible topology

[FMLJohn]

---

In this pull request, I have proved that if a topological space X is T0 and prespectral, then X is T2 in the constructible topology.

[github-actions]

PR summary 4dcf431333

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ t2Space_constructibleTopology₁
+ t2Space_withConstructibleTopology₁

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 4dcf431).

• +2 new declarations
• −0 removed declarations

+t2Space_constructibleTopology₁
+t2Space_withConstructibleTopology₁

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 4dcf431333
Reference commit b9a56a66c2

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).