$A=\{1,2,3,4,5,6\}$ and on B=$A\times A$ we define a relation R as follows :
$<a,b>R<c,d>$ if and only if $a \leq c $ And $b|d$ (without Remainder)
a) Prove that R is partial Order on B=$A\times A$
b) find the smallest element in B related to partial order R
me and some friends couldn't find anti-reflexive property on the relation R it seems there must be some mistake or something we not seeing
in my course they define it with anti-relexive