Vishik's syzygies conjecture for algebraic cobordism

Let $X$ be a smooth variety of dimension $d$. A free ${\mathbb{L}}$-resolution of $\Omega^*(X)$ is one whose $j$-th term has generators concentrated in codimensions between $j$ and $d$. Vishik's syzygies conjecture. $\Omega^*(X)$ has a free ${\mathbb{L}}$-resolution whose $j$-th term has generators concentrated in codimensions between $j$ and $d$. In particular, the cohomological ${\mathbb{L}}$-dimension of the ${\mathbb{L}}$-module $\Omega^*(X)$ is less than or equal to $d$. The paper states that this conjecture is proved in its Theorem on syzygies, so it is a resolved structural result for algebraic cobordism.