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implies

   Also found in: Dictionary/thesaurus, Legal, Wikipedia, Hutchinson 0.03 sec.
(logic)implies - (=> or a thin right arrow) A binary Boolean function and logical connective. A => B is true unless A is true and B is false. The truth table is

A B | A => B ----+------- F F | T F T | T T F | F T T | T

It is surprising at first that A => B is always true if A is false, but if X => Y then we would expect that (X & Z) => Y for any Z.

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Dimension implies direction, implies measurement, implies the more and the less.
Tacit obedience implies no force upon the will, and consequently may be easily, and without any pains, preserved; but when a wife, a child, a relation, or a friend, performs what we desire, with grumbling and reluctance, with expressions of dislike and dissatisfaction, the manifest difficulty which they undergo must greatly enhance the obligation.
Security against defeat implies defensive tactics; ability to defeat the enemy means taking the offensive.
 
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