Metamath Proof Explorer


Theorem 3mix2d

Description: Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011)

Ref Expression
Hypothesis 3mixd.1
|- ( ph -> ps )
Assertion 3mix2d
|- ( ph -> ( ch \/ ps \/ th ) )

Proof

Step Hyp Ref Expression
1 3mixd.1
 |-  ( ph -> ps )
2 3mix2
 |-  ( ps -> ( ch \/ ps \/ th ) )
3 1 2 syl
 |-  ( ph -> ( ch \/ ps \/ th ) )