Metamath Proof Explorer


Theorem orcd

Description: Deduction introducing a disjunct. A translation of natural deduction rule \/ IR ( \/ insertion right), see natded . (Contributed by NM, 20-Sep-2007)

Ref Expression
Hypothesis orcd.1
|- ( ph -> ps )
Assertion orcd
|- ( ph -> ( ps \/ ch ) )

Proof

Step Hyp Ref Expression
1 orcd.1
 |-  ( ph -> ps )
2 orc
 |-  ( ps -> ( ps \/ ch ) )
3 1 2 syl
 |-  ( ph -> ( ps \/ ch ) )