Metamath Proof Explorer


Theorem 3mix1i

Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014)

Ref Expression
Hypothesis 3mixi.1
|- ph
Assertion 3mix1i
|- ( ph \/ ps \/ ch )

Proof

Step Hyp Ref Expression
1 3mixi.1
 |-  ph
2 3mix1
 |-  ( ph -> ( ph \/ ps \/ ch ) )
3 1 2 ax-mp
 |-  ( ph \/ ps \/ ch )