Theorem jao1i

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

	Ref	Expression
Hypothesis	jao1i.1	|- ( ps -> ( ch -> ph ) )
Assertion	jao1i	|- ( ( ph \/ ps ) -> ( ch -> ph ) )

Proof

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