• The Diagonal of the Unit. The component
    \[ \Delta ^{\wedge }_{S^{0}} \colon S^{0} \overset {\scriptstyle \mathord {\sim }}{\dashrightarrow }S^{0}\wedge S^{0} \]

    of $\Delta ^{\wedge }$ at $S^{0}$ is an isomorphism.


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