Metamath Proof Explorer

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 φ ψ χ
jctird.2 φ θ
Assertion jctird φ ψ χ θ


Step Hyp Ref Expression
1 jctird.1 φ ψ χ
2 jctird.2 φ θ
3 2 a1d φ ψ θ
4 1 3 jcad φ ψ χ θ