p → q; ~ r → ~ q; ~ r ∴ ~ p TRUE
| p → q | ||
| ~ r → ~ q | ||
| ~ r | ||
 | ~ p |
Truth check table
| Case | p | q | r | p → q | ~ r → ~ q | ~ r | ~ p |
|---|---|---|---|---|---|---|---|
| 1 | T | T | T | T | T | F | F |
| 2 | T | T | F | T | F | T | F |
| 3 | T | F | T | F | T | F | F |
| 4 | T | F | F | F | T | T | F |
| 5 | F | T | T | T | T | F | T |
| 6 | F | T | F | T | F | T | T |
| 7 | F | F | T | T | T | F | T |
| 8 | F | F | F | T | T | T | T |
Public: Yes;
Show truth table: Yes;