Metamath Proof Explorer

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 φ ψ χ
jctild.2 φ θ
Assertion jctild φ ψ θ χ


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