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Use rules of inference to show that the hypotheses If I do not have to go to work or if it is not rain, then

Use rules of inference to show that the hypotheses "If I do not have to go to work or if it is not rain, then I will go for a walk and visit my grandparents," "If I go for a walk then I will visit my grandparents," and "I did not visit my grandparents" imply the conclusion "I have to go to work."

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