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Question: can anyone help me here please it is discrete mathematics...

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Can anyone help me here please? It is Discrete Mathematics and we should use propositional logic laws and rules of inference. Thanks

Lab Task 1 Fill in the Reasons column in the following proof sequence. Make sure you indicate which Line Number each derivation rule refers to Student Work Line Number Statements Reasons p→ (q→ r) given 2. 4 Lab Task 2 Complete the following proof sequence in order to prove the following assertion Note The \I symbol separates the row entries in the array . The & symbol separates the column entries in the array Ill get you started with the given information. Student Work Line Number Statements Reasons given given given Lab Task 3 In the domain of integers, consider the following predicates . Let N(x) be the statement x ^ 0. Let P(x, y) be the statement xy-1. (a) Translate the following statement into the symbols of predicate logic For all integers x, there is some integer y such that if x 0, then xy = 1 (b) Write the negation of your answer to part (a) in the symbols of predicate logic. Simplify your answer so that it uses the A connective (c) Translate your answer from part (b) into an English sentence (d) Which statement, (a) or (b), is true in the domain of integers? Explain.

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