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predicated
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Multiple Meanings
predicated — as in:  predicated upon

solving the problem is predicated on understanding it well
to indicate that something is a necessary condition for another thing to be true or to happen

The noun form predicate can be used as in:  "Peace is a predicate for economic prosperity in the region."  However, predicate has many other meanings. For example, it refers to one of the two main parts of any sentence.

A comprehensive dictionary will have more specialized definitions such as one used in formal logic.
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