Metamath Proof Explorer


Theorem orci

Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008) (Proof shortened by Wolf Lammen, 14-Nov-2012)

Ref Expression
Hypothesis orci.1 ⊢ φ
Assertion orci ⊢ φ ∨ ψ

Proof

Step Hyp Ref Expression
1 orci.1 ⊢ φ
2 1 pm2.24i ⊢ ¬ φ → ψ
3 2 orri ⊢ φ ∨ ψ