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