*subsumption*

n. 1. The act of subsuming, or of including under another. [ 1913 Webster ]

The first act of consciousness was a subsumption of that of which we were conscious under this notion. Sir W. Hamilton. [ 1913 Webster ]

2. That which is subsumed, as the minor clause or premise of a syllogism. [ 1913 Webster ]

But whether you see cause to go against the rule, or the subsumption under the rule. De Quincey. [ 1913 Webster ]