SOLUTION: INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F

Algebra ->  Proofs -> SOLUTION: INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F      Log On


   



Question 1010735: INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument:
1. H v (~T > R)
2. Hv (E > F)
3. ~T v E
4. ~H & D
/ R v F

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
 1. H v (~T > R) 
 2. H v (E > F) 
 3. ~T v E 
 4. ~H & D 
 / R v F 

 5. ~H         4, simplification
 6. ~T > R     1,5 disjunctive syllogism
 7. E > F      2,5 disjunctive syllogism
 8. R v F      6,7,3 constructive dilemma

Edwin