<div id="comment:0"></div> As promised in [#25462 comment:56](https://github.com/sagemath/sage/issues/25462#comment:56), this provides a fast iterator for set partitions with given block sizes, via linear extensions of a certain poset. Depends on #25462 Depends on #25864 CC: @tscrim @kevindilks Component: **combinatorics** Author: **Martin Rubey** Branch/Commit: **[`027b299`](https://github.com/sagemath/sagetrac-mirror/commit/027b299fbf870eca6918badfe23059fc58e0abbe)** Reviewer: **Travis Scrimshaw** _Issue created by migration from https://trac.sagemath.org/ticket/25865_