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We show the equivalence between the Joyal-Tierney descent theorem for open localic surjections $sh(B) \\stackrel{q}{\\longrightarrow} \\mathcal{E}$ in Galois theory [An extension of the Galois Theory of Grothendieck, AMS Memoirs 151] and a Tannakian recognition theorem over $s\\ell$ for the $s\\ell$-functor $Rel(E) \\stackrel{Rel(q^*)}{\\longrightarrow} Rel(sh(B)) \\cong (B$-$Mod)_0$ into the $s\\ell$-category of discrete $B$-modules. 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