A ∧ (B ∧ C ) ∴ (A ∧ B) ∧ C TRUE
| A ∧ (B ∧ C) | ||
 | (A ∧ B) ∧ C |
0
Truth check table
| Case | A | B | C | A ∧ (B ∧ C) | (A ∧ B) ∧ C |
|---|---|---|---|---|---|
| 1 | T | T | T | T | T |
| 2 | T | T | F | F | F |
| 3 | T | F | T | F | F |
| 4 | T | F | F | F | F |
| 5 | F | T | T | F | F |
| 6 | F | T | F | F | F |
| 7 | F | F | T | F | F |
| 8 | F | F | F | F | F |
Public: Yes;
Show truth table: Yes;
| A ∧ (B ∧ C) | ||
| (A ∧ B) ∧ C |
| Case | A | B | C | A ∧ (B ∧ C) | (A ∧ B) ∧ C |
|---|---|---|---|---|---|
| 1 | T | T | T | T | T |
| 2 | T | T | F | F | F |
| 3 | T | F | T | F | F |
| 4 | T | F | F | F | F |
| 5 | F | T | T | F | F |
| 6 | F | T | F | F | F |
| 7 | F | F | T | F | F |
| 8 | F | F | F | F | F |