case TRUE
| P | ||
| P → ((R ∨ S) ∨ T) | ||
| R → Q | ||
| S → Q | ||
| T → Q | ||
 | Q |
0
Truth check table
| Case | P | R | S | T | Q | P → ((R ∨ S) ∨ T) | R → Q | S → Q | T → Q |
|---|---|---|---|---|---|---|---|---|---|
| 1 | T | T | T | T | T | T | T | T | T |
| 2 | T | T | T | T | F | T | F | F | F |
| 3 | T | T | T | F | T | T | T | T | T |
| 4 | T | T | T | F | F | T | F | F | T |
| 5 | T | T | F | T | T | T | T | T | T |
| 6 | T | T | F | T | F | T | F | T | F |
| 7 | T | T | F | F | T | T | T | T | T |
| 8 | T | T | F | F | F | T | F | T | T |
| 9 | T | F | T | T | T | T | T | T | T |
| 10 | T | F | T | T | F | T | T | F | F |
| 11 | T | F | T | F | T | T | T | T | T |
| 12 | T | F | T | F | F | T | T | F | T |
| 13 | T | F | F | T | T | T | T | T | T |
| 14 | T | F | F | T | F | T | T | T | F |
| 15 | T | F | F | F | T | F | T | T | T |
| 16 | T | F | F | F | F | F | T | T | T |
| 17 | F | T | T | T | T | T | T | T | T |
| 18 | F | T | T | T | F | T | F | F | F |
| 19 | F | T | T | F | T | T | T | T | T |
| 20 | F | T | T | F | F | T | F | F | T |
| 21 | F | T | F | T | T | T | T | T | T |
| 22 | F | T | F | T | F | T | F | T | F |
| 23 | F | T | F | F | T | T | T | T | T |
| 24 | F | T | F | F | F | T | F | T | T |
| 25 | F | F | T | T | T | T | T | T | T |
| 26 | F | F | T | T | F | T | T | F | F |
| 27 | F | F | T | F | T | T | T | T | T |
| 28 | F | F | T | F | F | T | T | F | T |
| 29 | F | F | F | T | T | T | T | T | T |
| 30 | F | F | F | T | F | T | T | T | F |
| 31 | F | F | F | F | T | T | T | T | T |
| 32 | F | F | F | F | F | T | T | T | T |
Public: Yes;
Show truth table: Yes;