Theorem jctird

Description: Deduction conjoining a theorem to right of consequent in an implication. (Contributed by NM, 21-Apr-2005)

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

Proof

Step	Hyp	Ref	Expression
1		jctird.1	|- ( ph -> ( ps -> ch ) )
2		jctird.2	|- ( ph -> th )
3	2	a1d	|- ( ph -> ( ps -> th ) )
4	1 3	jcad	|- ( ph -> ( ps -> ( ch /\ th ) ) )