Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________

Question:Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________

1.| is an equivalence relation

2.It is a total order

3.Every subset of N has an upper bound under |

4.(N,|) is a lattice but not a complete lattice


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