SOLUTION: Use all eighteen rules 1. Q ⊃ (F ⊃ A) 2. R ⊃ (A ⊃ F) 3. Q • R / F ≡ A

Algebra ->  Proofs -> SOLUTION: Use all eighteen rules 1. Q ⊃ (F ⊃ A) 2. R ⊃ (A ⊃ F) 3. Q • R / F ≡ A       Log On


   

Question 1204739: Use all eighteen rules
1. Q ⊃ (F ⊃ A)

2. R ⊃ (A ⊃ F)
3. Q • R / F ≡ A

Answer by math_tutor2020(3816) About Me  (Show Source):
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NumberStatementLine(s) UsedReason
1Q --> (F --> A)
2R --> (A --> F)
3Q & R
:.F = A
4R & Q3Commutation
5Q3Simplification
6R4Simplification
7F --> A1, 5Modus Ponens
8A --> F2, 6Modus Ponens
9(F --> A) & (A --> F)7, 8 Conjunction
10F = A9Material Equivalence

Here are the Rules of Inference and Replacement to review.