Use disjunction introduction, negation introduction and conjunction introduction in the following natural deduction proof. Indentation marks the assumptions discharged at their closing lines.The two separate temporary assumptions establish the two required negations; neither is retained in the conclusion.
1. ¬(φ ∨ ψ) premise
2. φ assumption [i]
3. φ ∨ ψ ∨I-left, 2
4. ⊥ ¬E, 1, 3
5. ¬φ ¬I, 2–4, discharging [i]
6. ψ assumption [j]
7. φ ∨ ψ ∨I-right, 6
8. ⊥ ¬E, 1, 7
9. ¬ψ ¬I, 6–8, discharging [j]
10. ¬φ ∧ ¬ψ ∧I, 5, 9 Articles by others on the same topic
There are currently no matching articles.