Question: Problem 6 15 + 5 pts): If it is lhot today aud it rai then I am going to play soccer. If it did not

Problem 6 15 + 5 pts): If it is lhot today aud it rai then I am going to play soccer. If it did not rain yesterday, it will not rain today. I am uot miscrable today. Therefore it did not rain today or I am going to play soccer iued yesterday, theu I will he uiserable today. lf it is not hot today (a) Model tlhe above given couditions as logical stateueuts. Clcarly detine the propositious. Also, nlicate tlhe couclusionu. (b) If the reasoning is correct. prove it using the rules of inference for propositional logic

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