MaGilicuti
New member
I am doing my online tests now, 2 tests to go. I am completely lost. Please help me god
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Question 1 (10 points)
Please derive ( A & B) --> D from the premise B --> D.
Prove
A & B) --> D
1) B --> D P
Question 2 (10 points)
Please derive A --> B from the premises A --> ( ~~B v C), ~C
Prove: A --> B
1) A --> ( ~~B v C) P
2) ~C P
Question 3 (10 points)
Please derive ~A from A --> B, B --> C, ~C
(Hint: Use ~I)
Prove: ~ A
1) A --> B P
2) B --> C P
3) ~C P
Question 4 (10 points)
Please derive: A --> ~C from A <--> B, B <--> ~C.
Prove: A --> ~C
1) A <--> B P
2) B <--> ~C P
Question 5 (10 points)
Prove: A --> D from A --> B, (B & C) --> D, C.
Prove: A --> D
1) A --> B P
2) (B & C) --> D P
3) C P
Question 6 (10 points)
Please prove D from A --> B, B --> A, ( A <--> B) --> ~C, C v D.
Prove: D
1) A --> B P
2) B --> A P
3) ( A <--> B) --> ~C P
4) C v D P
Question 7 (10 points)
Prove A --> D from ( A v B) --> ~C, C v D.
Prove: A --> D
1) ( A v B) --> ~C P
2) C v D P
Question 8 (10 points)
Prove C & D from A <--> ~B, ~B --> ~~C, A, D.
Prove: C & D
1) A <--> ~B P
2) ~B --> ~~C P
3) A P
4) D P
Question 9 (10 points)
Prove ~A from A --> ~B, B v ~~C, C --> ~A.
Hint: Use ~I
Prove: ~A
1) A --> ~B P
2) B v ~~C P
3) C --> ~A P
Question 10 (10 points)
Prove: ~(A & B) from the premise ~A v ~B
Use ~I
Prove: ~( ~A & ~B)
1) A v B P
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Question 1 (10 points)
Please derive ( A & B) --> D from the premise B --> D.
Prove
1) B --> D P
Question 2 (10 points)
Please derive A --> B from the premises A --> ( ~~B v C), ~C
Prove: A --> B
1) A --> ( ~~B v C) P
2) ~C P
Question 3 (10 points)
Please derive ~A from A --> B, B --> C, ~C
(Hint: Use ~I)
Prove: ~ A
1) A --> B P
2) B --> C P
3) ~C P
Question 4 (10 points)
Please derive: A --> ~C from A <--> B, B <--> ~C.
Prove: A --> ~C
1) A <--> B P
2) B <--> ~C P
Question 5 (10 points)
Prove: A --> D from A --> B, (B & C) --> D, C.
Prove: A --> D
1) A --> B P
2) (B & C) --> D P
3) C P
Question 6 (10 points)
Please prove D from A --> B, B --> A, ( A <--> B) --> ~C, C v D.
Prove: D
1) A --> B P
2) B --> A P
3) ( A <--> B) --> ~C P
4) C v D P
Question 7 (10 points)
Prove A --> D from ( A v B) --> ~C, C v D.
Prove: A --> D
1) ( A v B) --> ~C P
2) C v D P
Question 8 (10 points)
Prove C & D from A <--> ~B, ~B --> ~~C, A, D.
Prove: C & D
1) A <--> ~B P
2) ~B --> ~~C P
3) A P
4) D P
Question 9 (10 points)
Prove ~A from A --> ~B, B v ~~C, C --> ~A.
Hint: Use ~I
Prove: ~A
1) A --> ~B P
2) B v ~~C P
3) C --> ~A P
Question 10 (10 points)
Prove: ~(A & B) from the premise ~A v ~B
Use ~I
Prove: ~( ~A & ~B)
1) A v B P

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