Author: Urs Format: MarkdownItexFor completeness, I have expanded out ([here](https://ncatlab.org/nlab/show/(n-connected%2C+n-truncated)+factorization+system#HomotopyPullbackPreservesNImageFactorization)) the argument of the corollary that was sitting here, claiming that $n$-images are preserved by $\infty$-pullback.
<a href="https://ncatlab.org/nlab/revision/diff/%28n-connected%2C+n-truncated%29+factorization+system/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/%28n-connected%2C+n-truncated%29+factorization+system/22">v22</a>, <a href="https://ncatlab.org/nlab/show/%28n-connected%2C+n-truncated%29+factorization+system">current</a>
For completeness, I have expanded out (here) the argument of the corollary that was sitting here, claiming that -images are preserved by -pullback.