Consequential \Con`se*quen"tial\, a.

1. Following as a consequence, result, or logical inference; consequent.

All that is revealed in Scripture has a consequential necessity of being believed . . . because it is of divine authority. --Locke.

These kind of arguments . . . are highly consequential and concludent to my purpose. --Sir M. Hale.

2. Assuming or exhibiting an air of consequence; pretending to importance; pompous; self-important; as, a consequential man. See Consequence, n., 4.

His stately and consequential pace. --Sir W. Scott.

Consequential damage (Law)
   (a) Damage so remote as not to be actionable
   (b) Damage which although remote is actionable.
   (c) Actionable damage, but not following as an immediate result of an act.

Source: Webster's Revised Unabridged Dictionary (1913)