Question
Write the meaning of the root ‘Dhru’.
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| (1) (P & Q) $\rightarrow$ S | P |
| (2) S $\rightarrow$ (~L $\rightarrow$ ~ N) | P |
| (3) ~ L & ~ N | P |
| (4) P & Q | P/$\therefore$ ~ N v F |
| (5) (P & Q) $\rightarrow$ ( ~ L$\rightarrow$~N) | ................ |
| (6) ~ L $\rightarrow$ ~ N | ................ |
| (7) ~ L | ................ |
| (8) ~ N | ................ |
| (9) ~ N v F | ................ |
| (1)A $\rightarrow$ J | P |
| (2) B $\rightarrow$ (R v s) | P |
| (3) (A v B) & ~ D | P |
| (4) J $\rightarrow$ D | P/$\therefore$ ~ D v T |
| (5) ~ D | ................ |
| (6) A $\rightarrow$ D | ................ |
| (7) ~ J | ................ |
| (8)A v B | ................ |
| (9) J v (R v s) | ................ |
| (10)R v S | ................ |
| (11) ~ D v T | ................ |
| (1) (A v X) &Y | P |
| (2) [(A v X) v T] $\rightarrow$ M | P |
| (3) [(A v X) &M] $\rightarrow$ Z | P/$\therefore$ Z |
| (4) (A v X) | ................ |
| (5) (A v X) v T | ................ |
| (6) M | ................ |
| (7) (A v X) &M | ................ |
| (8) Z | ................ |
| (1) (P & Q) $\rightarrow$ S | P |
| (2) S $\rightarrow$ (~L $\rightarrow$ ~ N) | P |
| (3) ~ L & ~ N | P |
| (4) P & Q | P/$\therefore$ ~ N v F |
| (5) (P & Q) $\rightarrow$ ( ~ L$\rightarrow$~N) | ................ |
| (6) ~ L $\rightarrow$ ~ N | ................ |
| (7) ~ L | ................ |
| (8) ~ N | ................ |
| (9) ~ N v F | ................ |
| (1)(A & D) $\rightarrow$ C | P |
| (2) F $\rightarrow$ (A & D) | P |
| (3) F & G | P/$\therefore$ C v (B v D) |
| (4) F | ................ |
| (5)A & D | ................ |
| (6) C | ................ |
| (7) C v (B v D) | ................ |
| (1) (P & R) v ~ S | P |
| (2) (P & R) $\rightarrow$ ~ | P |
| (3) M $\rightarrow$ ~ ~ T | P |
| (4) ~ S $\rightarrow$ (A & B) | P |
| (5) M | P/$\therefore$ A v (R & S) |
| (6) ~ ~ T | ................ |
| (7) ~(P&R) | ................ |
| (8) ~ S | ................ |
| (9) A & B | ................ |
| (10) A | ................ |
| (11) A v (R & S) | ................ |