SOLUTION: Please help me complete the conditional proof for this problem: (F v ~ G) → ~ L .: L → G
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Question 1026724
:
Please help me complete the conditional proof for this problem:
(F v ~ G) → ~ L .: L → G
Answer by
jim_thompson5910(35256)
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Number
Statement
Lines Used
Reason
1.
(F v ~G) -> ~L
:.
L -> G
|
2.
L
Assumption for Conditional Proof
|
3.
~~L
2
Double Negation
|
4.
~(F v ~G)
1,3
Modus Tollens
|
5.
~F & ~~G
4
De Morgan's Law
|
6.
~F & G
5
Double Negation
|
7.
G & ~F
6
Commutation
|
8.
G
7
Simplification
9.
L -> G
2-8
Conditional Proof