Theorem 3mix1i 1200

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

Hypothesis

Ref	Expression
3mixi.1	|- ph

Assertion

Ref	Expression
3mix1i	|- ( ph \/ ps \/ ch )

Proof of Theorem 3mix1i

Step	Hyp	Ref	Expression
1		3mixi.1	. 2 |- ph
2		3mix1 1197	. 2 |- ( ph -> ( ph \/ ps \/ ch ) )
3	1, 2	ax-mp 5	1 |- ( ph \/ ps \/ ch )

This proof depends on syntax axioms:   \/ w3o 1008

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 721

This proof depends on definitions:  df-bi 117  df-3or 1010

This theorem is used by:  tpid1  3824  tpid1g  3825  0z  9655