Theorem jca2

Description: Inference conjoining the consequents of two implications. (Contributed by Rodolfo Medina, 12-Oct-2010)

	Ref	Expression
Hypotheses	jca2.1	|- ( ph -> ( ps -> ch ) )
	jca2.2	|- ( ps -> th )
Assertion	jca2	|- ( ph -> ( ps -> ( ch /\ th ) ) )

Proof

Step	Hyp	Ref	Expression
1		jca2.1	|- ( ph -> ( ps -> ch ) )
2		jca2.2	|- ( ps -> th )
3	2	a1i	|- ( ph -> ( ps -> th ) )
4	1 3	jcad	|- ( ph -> ( ps -> ( ch /\ th ) ) )