Theorem a1i24

Description: Add two antecedents to a wff. Deduction associated with a1i13 . (Contributed by Jeff Hankins, 5-Aug-2009)

	Ref	Expression
Hypothesis	a1i24.1	|- ( ph -> ( ch -> ta ) )
Assertion	a1i24	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		a1i24.1	|- ( ph -> ( ch -> ta ) )
2	1	a1dd	|- ( ph -> ( ch -> ( th -> ta ) ) )
3	2	a1d	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )