Metric spaces are paracompact
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Description: Every extended metric space (e-metric space) is paracompact. Specifically, for any open cover of an e-metric space, there exists a locally finite open refinement. This theorem guarantees that extended metric spaces satisfy a fundamental property in topology, making them suitable for applications requiring locally finite refinements of open covers.
Described at URL: https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/EMetricSpace/Paracompact.html
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