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lics.tex
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\begin{enumerate}
\item The type $C$ is Sierpi\'nski complete.
\item The type $C$ is internally right orthogonal to the comparison map
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\[ \OpenMCyl_{(x:B)}E[x]\to \Lift_{(x:B)}E[x]\] from the geometrical to the logical for each family of $\IsF{1}$-connected types $x:B\vdash E[x]$.
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\[ \OpenMCyl_{(x:B)}E[x]\to \Lift_{(x:B)}E[x]\] from the geometrical to the logical open fibre cylinder for each family of $\IsF{1}$-connected types $x:B\vdash E[x]$.
\item The type $C$ is internally right orthogonal to the comparison map \[ \OpenMCyl_B(f)\to \Lift_B(f)\] for each $\IsF{1}$-connected function $f\colon E\to B$.
\end{enumerate}
\end{theorem}