Theorem jca2r

Description: Inference conjoining the consequents of two implications. (Contributed by Rodolfo Medina, 17-Oct-2010)

	Ref	Expression
Hypotheses	jca2r.1	|- ( ph -> ( ps -> ch ) )
	jca2r.2	|- ( ps -> th )
Assertion	jca2r	|- ( ph -> ( ps -> ( th /\ ch ) ) )

Proof

Step	Hyp	Ref	Expression
1		jca2r.1	|- ( ph -> ( ps -> ch ) )
2		jca2r.2	|- ( ps -> th )
3	2	a1i	|- ( ph -> ( ps -> th ) )
4	3 1	jcad	|- ( ph -> ( ps -> ( th /\ ch ) ) )