# Definition talk:Strictly Positive

I may be being fussy here, but: "$x \in R$ is strictly positive iff $0_R \le x$ and $x \ne 0_R$" is in this context "safer" than "$0_R < x$ or $x > 0_R$", because in the context of an Definition:Ordered Ring, we have not strictly speaking defined $<$ or $>$.
In the field of numbers, it is taken for granted what $<$ and $>$ mean etc. etc. but in the axiomatic foundations we might have to be more careful.