**Problem**. Let be an integer and a ring such that for all Prove that for all

**Solution. **First note that for all and therefore, since for all we will have for all Also and as a result Therefore for all we have

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Tags: Boolean, ring

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**Problem**. Let be an integer and a ring such that for all Prove that for all

**Solution. **First note that for all and therefore, since for all we will have for all Also and as a result Therefore for all we have

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