Metamath Proof Explorer


Theorem anc2ri

Description: Deduction conjoining antecedent to right of consequent in nested implication. (Contributed by NM, 15-Aug-1994) (Proof shortened by Wolf Lammen, 7-Dec-2012)

Ref Expression
Hypothesis anc2ri.1
|- ( ph -> ( ps -> ch ) )
Assertion anc2ri
|- ( ph -> ( ps -> ( ch /\ ph ) ) )

Proof

Step Hyp Ref Expression
1 anc2ri.1
 |-  ( ph -> ( ps -> ch ) )
2 id
 |-  ( ph -> ph )
3 1 2 jctird
 |-  ( ph -> ( ps -> ( ch /\ ph ) ) )