Suspension of contractible space is contractible

This article gives the statement, and possibly proof, of a topological space property (i.e., contractible space) satisfying a topological space metaproperty (i.e., suspension-closed property of topological spaces)
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Statement

Suppose $X$ is a contractible space. Then, the Suspension (?) of $X$, denoted $SX$, is also a contractible space.

Related facts

• Suspension of any space is path-connected
• Suspension of path-connected space is simply connected, which uses the Seifert-van Kampen theorem
• Homology for suspension, which uses the Mayer-Vietoris homology sequence
• Suspension pushes up connectivity by one
• Suspension of weakly contractible space is weakly contractible