You are given proof sequence. Justify each step in it (meaning, write down what

Question

You are given proof sequence. Justify each step in it (meaning, write down what rule was used to derive it, and from which previously obtained step(s) if applies).

Argument is: A’ B [B (A C)] C

Proof sequence (you should substitute “?” with your reasoning)

Step                                        Reason

1. A’                                                    ?

2. B                                                     ?

3. B (A C)                                   ?

4. A C                                              ?

5. (A’)’ C                                         ?

6. A’ C                                           ?

7. C ?

Explanation / Answer

The explaination for the given arguments are as follows:

Step Reason
1. A’ Negation Introduction
2. B Idempotent Law
3. B (A C) Associative Law
4. A C Disjunction Introduction
5. (A’)’ C Negation Elimination
6. A’ C Modus Ponens
7. C Excluded Middle

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