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These are intuitionistically non-equivalent, in the sense of not always yielding ⊢I L-equivalent compounds from the same components, while by an argument not given here—for any intuitionistically provable sequent σ(#1) involving formulas constructed from the variables by means of #1, the corresponding sequent σ(#2) is also intuitionistically provable (though not conversely).
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Any two-level criterion can be restated in a one-level form (though, of course, not conversely).
Decidability implies stability, but not conversely.
Mr. Wong said many of his clients were being cited for rat infestations, though, conversely, violations are not going up citywide: the number of violations for rodents issued since Hurricane Sandy dropped to 1,996, compared to 2,750 for the same period the previous year.
Conversely, measurable benefits have been observed in the perioperative setting, though not in all of the published studies.
Conversely, BTecs are generally more vocational and in specific subjects, so may be equally good preparation for professional courses, though not so for purer academic ones.
Conversely, mice on high-protein diets were more likely to live.A high-protein diet, though, is not always the right route to take.
India, though, is not.
Conversely, though, it didn't move up as fast, either.
You are not me and, conversely, I am not you.
Conversely, though, bonds would not be the place to be if inflation reared its head, sending rates up again.
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