Relatia de ordine ≤ are urmatoarele proprietati :
○ reflexivitate, adica [tex]\forall x \in R, x\leq x[/tex]
○ antisimetrie, adica [tex]\forall x,y \in R, daca\ x \leq y\ si\ y \leq x \implies x=y[/tex]
○ tranzitivitate, adica [tex]\forall x,y,z\in R, daca\ x\leq y\ si \ y\leq z \implies x\leq z[/tex]