Perfect normality is hereditary

This article gives the statement, and possibly proof, of a topological space property (i.e., perfectly normal space) satisfying a topological space metaproperty (i.e., subspace-hereditary property of topological spaces)
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Statement

Any subspace of a perfectly normal space, endowed with the subspace topology, is also a perfectly normal space.

Related facts

• Monotone normality is hereditary
• Metrizability is hereditary
• Perfectly normal implies hereditarily normal