Theorem ancrd

Description: Deduction conjoining antecedent to right of consequent in nested implication. (Contributed by NM, 15-Aug-1994) (Proof shortened by Wolf Lammen, 1-Nov-2012)

	Ref	Expression
Hypothesis	ancrd.1	|- ( ph -> ( ps -> ch ) )
Assertion	ancrd	|- ( ph -> ( ps -> ( ch /\ ps ) ) )

Proof

Step	Hyp	Ref	Expression
1		ancrd.1	|- ( ph -> ( ps -> ch ) )
2		idd	|- ( ph -> ( ps -> ps ) )
3	1 2	jcad	|- ( ph -> ( ps -> ( ch /\ ps ) ) )