Canonical coloured-antichain conjecture for minimal unbounded clique-width classes

Let $X$ be a minimal hereditary class of graphs of unbounded clique-width. A canonical infinite coloured antichain is the canonical infinite coloured antichain associated with such a class in the paper. Canonical coloured-antichain conjecture. Every minimal hereditary class of graphs of unbounded clique-width contains a canonical infinite coloured antichain. This is proposed as a strengthening of the coloured-antichain conjecture attributed to DRT10; the paper presents it as an open proposal.