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I'm looking for a word that has the opposite implication to "depends on" or "has this prerequisite". Something which describes the relationship of B to A if A is a prerequisite of B.

Something that could mean "dependor" or "requirer", for example?

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The way I see it, the title of the question is asking for the opposite thing from the body. It is also asking for an adjective, while "dependor" and "requirer" are nouns. – RegDwigнt Mar 30 '13 at 22:35
Whoops, it's late and I did a bad grammar. Updated to make sense. – jackweirdy Mar 30 '13 at 22:40
up vote 2 down vote accepted

If B requires A, then B is dependent on A. So B is a dependent of A.

Dependent: (adj) determined or conditioned by another : contingent (e.g., plans that are dependent on the weather) Merriam-Webster

The corresponding noun has the same spelling.

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Logically, we might say: If A is necessary for B, then B is sufficient for A. Then B is a sufficient condition for A.

Assume that if A is a prerequisite of B, then A must be completed before B starts; otherwise, A would be a corequisite with respect to B. Then B is subsequent to A. The same webpage says subsequent is also a noun, so B is A's subsequent.

Contingent is similar. But I think it's more general because it is not related to "sequence"; B needs A, but B doesn't always happen when A does.

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I think "contingent upon" (or "contingent on") represents exactly the meaning OP is looking for, but I don't think there is a noun of the type he is seeking to convey this relationship. – John M. Landsberg Mar 31 '13 at 7:29
Good point. I found a noun contingency (as in "B is a contingency of A"). Something about it feels a little off to me, but it looks like it should be valid by the definition. Does it look right to you? – user39720 Mar 31 '13 at 14:50
Contingent appears to also be a noun meaning "something contingent". I seems interchangable with "contingency", but I'm not sure. – James M. Lay Nov 21 '14 at 8:59

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