SOLUTION: Premise: 1. ~S Conclusion: ~(F • S) What is proof, line and rule?
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Question 1209090
:
Premise:
1.
~S
Conclusion:
~(F • S)
What is proof, line and rule?
Answer by
math_tutor2020(3816)
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This is one way to do the derivation.
I'm using an ampersand (&) in place of a dot.
Number
Statement
Line(s) Used
Reason
1
~S
:.
~(F & S)
2
~S v ~F
1
Addition
3
~F v ~S
2
Commutation
4
~(F & S)
3
De Morgan's Law
Here's a list of
rules of inference and replacement