SOLUTION: can i have help solving this proof please? 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

Algebra ->  Proofs -> SOLUTION: can i have help solving this proof please? 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       Log On


   



Question 1010505: can i have help solving this proof please?
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 jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
NumberStatementLines UsedReason
1H v (~T -> R)
2H v (E -> F)
3~T v E
4~H & D
.:R v F
5~H4Simplification
6~T -> R1,5Disjunctive Syllogism
7E -> F2,5Disjunctive Syllogism
8(~T -> R) & (E -> F)6,7Conjunction
9R v F8,3Constructive Dilemma