In logic, to say that p implies q is to assert that whenever p is true, q must also be true. This relation is captured formally by the conditional "if p, then q". The guarantee of truth transfer from p to q is the essence of implication. Thus the relation described in the stem is that p implies q.
Option A:
Option A, contradicts, would mean that p and q cannot both be true at the same time, which is the opposite of what is stated. Contradiction signals incompatibility, not guaranteed co-truth. Therefore contradicts is not appropriate.
Option B:
Option B, equals, suggests identity rather than a directional truth-preserving relation. Logical equivalence does require mutual implication, but simple equality does not capture the idea of one truth ensuring another. Hence equals is not the right term here.
Option C:
Option C is correct because implies is the standard expression for a relation where the truth of one statement ensures the truth of another. It is central to conditional logic and validity.
Option D:
Option D, excludes, implies mutual incompatibility or inability to coexist, which again contradicts the idea that the truth of one statement forces the truth of another. Consequently excludes is not suitable.
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