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I think the difficulty is because type nmod1 is disjunctive.  Proving
this TCC may require a split. The decision procedures are not able to
use its clauses effectively.  You might try breaking nmod1 into two
types.  One for x < -1, the other for x > 1.  Then you could introduce
two judgements for sums_cosnsin.

Please let me know if this works.


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