SOLUTION: (RvS) > (H & ~G) (k v r) > (G v ~H) /~R question2 n>r o<>r (o>r)>L /(n>o)&L

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Question 1042733: (RvS) > (H & ~G)
(k v r) > (G v ~H)
/~R
question2
n>r
o<>r
(o>r)>L
/(n>o)&L

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I'm assuming that you don't bother to differentiate between upper and lower case, although in all forms of mathematics it makes a difference.
 1.  N -> R
 2.  O <-> R
 3.  (O -> R) -> L          |  (N -> O) & L

 4.  (R -> O)               2, Biconditional Elimination
 5.  (N -> O)               1, 4, Hypothetical Syllogism
 6.  (O -> R)               2, Biconditional Elimination
 7.  L                      3, 6, Modus Ponens    
 8.  :. (N -> O) & L        5, 7, Conjunction Introduction


John

My calculator said it, I believe it, that settles it