Theorem jctild

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

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

Proof

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