SOLUTION: Show that a subset C of a preordered space (X, ≤) is a chain if and only if C × C ⊂ A ∪ A−1, where A := {(x, y) : x ≤ y}, A−1 := {(x, y) : (y,

Algebra ->  sets and operations  -> Lessons -> SOLUTION: Show that a subset C of a preordered space (X, ≤) is a chain if and only if C × C ⊂ A ∪ A−1, where A := {(x, y) : x ≤ y}, A−1 := {(x, y) : (y,       Log On


   



Question 951796: Show that a subset C of a preordered space (X, ≤) is a chain if and only if
C × C ⊂ A ∪ A−1, where A := {(x, y) : x ≤ y}, A−1 := {(x, y) : (y, x) ∈ A}

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