SOLUTION: Solve the proof: 1. (AvB)->D 2. D-> (c->E) 3. A&C :. E
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Question 1104258
:
Solve the proof:
1. (AvB)->D
2. D-> (c->E)
3. A&C
:. E
Answer by
jim_thompson5910(35256)
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Here is one way to do the derivation
Number
Statement
Lines Used
Reason
1
(A v B) -> D
2
D -> (C -> E)
3
A & C
:.
E
4
C & A
3
Commutation
5
A
3
Simplification
6
C
4
Simplification
7
A v B
5
Addition
8
D
1,7
Modus Ponens
9
C -> E
2,8
Modus Ponens
10
E
9,6
Modus Ponens