Covering the whole of what it claims to cover. A comprehensive claim is one that can be disproved by a single gap.
Latin comprehendere (to grasp, seize, comprise), from com- (together) + prehendere (to seize, grasp); a claim to have taken hold of the whole of something, disprovable by a single piece left ungrasped.
Covering the whole of what it claims to cover. It is a claim that a single overlooked gap is enough to break.