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Effectively, here's what my Venn diagrams are doing:
F = y’z’ + x’yz + x’y + xyz + xz’ F = (xy'z' + x'y'z') + (x'yz) + (x'yz + x'yz') + (xyz) + (xyz' + xy'z') //write each xyz combo explicitly F = xyz + xyz' + xy'z' + x'yz + x'yz' + x'y'z' //write each value once F = (xyz + xyz' + xy'z') + (x'yz + x'yz' + x'y'z') + (xyz + xyz' + x'yz + x'yz') + (xy'z' + x'y'z') + (xyz + x'yz) + (xyz' + xy'z' + x'yz' + x'y'z') // write all the items that correspond to x, x', y, y', z, z', duplicating as necessary F = (xyz + xyz' + xy'z') + (x'yz + x'yz' + x'y'z') + y + (xy'z' + x'y'z') + (xyz + x'yz) + z' // any quads get rewritten as single letters, highlight any items that they covered F = y + z' // ignore any sets that are covered by the singletons
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