Theorem imim2d

Description: Deduction adding nested antecedents. Deduction associated with imim2 and imim2i . (Contributed by NM, 10-Jan-1993)

	Ref	Expression
Hypothesis	imim2d.1	|- ( ph -> ( ps -> ch ) )
Assertion	imim2d	|- ( ph -> ( ( th -> ps ) -> ( th -> ch ) ) )

Proof

Step	Hyp	Ref	Expression
1		imim2d.1	|- ( ph -> ( ps -> ch ) )
2	1	a1d	|- ( ph -> ( th -> ( ps -> ch ) ) )
3	2	a2d	|- ( ph -> ( ( th -> ps ) -> ( th -> ch ) ) )