An independent basis for the quasi-identities of a free Cantor algebra

Let $\mathfrak Q(\mathfrak A_{1,n})$ be the minimal quasi-variety contained in the variety $\mathfrak A_{1,n}$ of Cantor algebras. It is shown that the set of quasi-identities of the quasi-variety $\mathfrak Q(\mathfrak A_{1,n})$ possesses an independent basis.
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