Prove that the following arguments are standard by constructing m… - Vidyadip

Question

Prove that the following arguments are standard by constructing metaphorical proof

(A & B) $\rightarrow$ [A $\rightarrow$ (D & E)]

(A & B) & C

$\therefore$E v G

✓

Answer

(1) (A & B) $\rightarrow$ (A$\rightarrow$ (D & E)	P
(2) (A & B) & C	P /$\therefore$ E v G
(3) A & B	2, Simp.
(4) A $\rightarrow$(D & E)	1, 3, MP
(5) A	3, Simp.
(6) D & E	4, 5, MP
(7) E	6, Simp.
(8) E v G	7, Add

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