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- Q1062242-70ECA665-C0F4-4596-8848-545DEB3100D7 P2534 "<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle F(X)\rightarrow \prod _{\alpha \in A}F(X_{\alpha }){{{} \atop \longrightarrow } \atop {\longrightarrow \atop {}}}\prod _{\alpha ,\beta \in A}F(X_{\alpha }\times _{X}X_{\beta })}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo stretchy="false">(</mo> <mi>X</mi> <mo stretchy="false">)</mo> <mo stretchy="false">→<!-- → --></mo> <munder> <mo>∏<!-- ∏ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>α<!-- α --></mi> <mo>∈<!-- ∈ --></mo> <mi>A</mi> </mrow> </munder> <mi>F</mi> <mo stretchy="false">(</mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>α<!-- α --></mi> </mrow> </msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow class="MJX-TeXAtom-ORD"> </mrow> <mo stretchy="false">⟶<!-- ⟶ --></mo> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mo stretchy="false">⟶<!-- ⟶ --></mo> <mrow class="MJX-TeXAtom-ORD"> </mrow> </mfrac> </mrow> </mfrac> </mrow> <munder> <mo>∏<!-- ∏ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>α<!-- α --></mi> <mo>,</mo> <mi>β<!-- β --></mi> <mo>∈<!-- ∈ --></mo> <mi>A</mi> </mrow> </munder> <mi>F</mi> <mo stretchy="false">(</mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>α<!-- α --></mi> </mrow> </msub> <msub> <mo>×<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>X</mi> </mrow> </msub> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>β<!-- β --></mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F(X)\rightarrow \prod _{\alpha \in A}F(X_{\alpha }){{{} \atop \longrightarrow } \atop {\longrightarrow \atop {}}}\prod _{\alpha ,\beta \in A}F(X_{\alpha }\times _{X}X_{\beta })}</annotation> </semantics> </math>" @default.