 Confirmation complementarity (ordinal extension) (CC-Ord)  \(C_{P}(\neg h, e\mid k)\) is a strictly decreasing function of \(C_{P}(h, e\mid k)\), that is, for any \(h, h^*,e, e^*,k \in \bL\) and any \(P\in \bP,\) \(C_{P}(h, e\mid k)\gtreqless C_{P}(h^*,e^*\mid k)\) if and only if \(C_{P}(\neg h, e\mid k) \lesseqgtr C_{P}(\neg h^*,e^*\mid k).\) 