The product of two lattices is a lattice. The previous exercise implies that the product of n
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The previous exercise implies that the product of n lattices is a lattice, with ∨ and ∨ defined componentwise, that is,
x ∨ y = (x1 ∨ y1, x24y2; . . . ; xn ∨ yn)
x ∧ y = x1 ∧ y1, x2 ∧ y2, . . . , xn ∧ yn)
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Assume 1 and 2 are lattices and let 1 2 Consider any two elements x 1 2 and y 1 2 in Since 1 ...View the full answer
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