Theorem jao1i 742

Description: Add a disjunct in the antecedent of an implication. (Contributed by Rodolfo Medina, 24-Sep-2010.)

Hypothesis

Ref	Expression
jao1i.1	|- ( ps -> ( ch -> ph ) )

Assertion

Ref	Expression
jao1i	|- ( ( ph \/ ps ) -> ( ch -> ph ) )

Proof of Theorem jao1i

Step	Hyp	Ref	Expression
1		ax-1 5	. 2 |- ( ph -> ( ch -> ph ) )
2		jao1i.1	. 2 |- ( ps -> ( ch -> ph ) )
3	1, 2	jaoi 668	1 |- ( ( ph \/ ps ) -> ( ch -> ph ) )

Syntax hints:   -> wi 4   \/ wo 661

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 662

This theorem depends on definitions:  df-bi 115

This theorem is referenced by:  nn0enne  10302