  We establish a Quillen equivalence between the Kan-Quillen model structure
and a model structure, derived from a cubical model of homotopy type theory, on
the category of cartesian cubical sets with one connection. We thereby identify
a second model structure which both constructively models homotopy type theory
and presents infinity-groupoids, the first example being the equivariant
cartesian model of Awodey-Cavallo-Coquand-Riehl-Sattler.
