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 ( 𝜑 → ( 𝜓𝜒 ) )
Assertion anc2ri ( 𝜑 → ( 𝜓 → ( 𝜒𝜑 ) ) )

Proof

Step Hyp Ref Expression
1 anc2ri.1 ( 𝜑 → ( 𝜓𝜒 ) )
2 id ( 𝜑𝜑 )
3 1 2 jctird ( 𝜑 → ( 𝜓 → ( 𝜒𝜑 ) ) )