3 Non-Parallel Planes divide Space into 8

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Theorem

Let $3$ planes which are pairwise non-parallel be constructed in ordinary $3$-dimensional space.


Then that space is divided into $8$ parts by those planes.


Proof


This theorem requires a proof.
In particular: Intuitively obvious but needs a run-up
It's not actually even true -- consider the case where all $3$ lines of intersection of the $3$ planes are parallel. Needs to be reworded, presumably just means the lines of intersection are pairwise non-parallel as well.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
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Sources

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