Theorem jctil

Description: Inference conjoining a theorem to left of consequent in an implication. (Contributed by NM, 31-Dec-1993)

	Ref	Expression
Hypotheses	jctil.1	$$⊢\phi \to \psi$$
	jctil.2	$$⊢\chi$$
Assertion	jctil	$$⊢\phi \to \left(\chi \wedge \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		jctil.1	$$⊢\phi \to \psi$$
2		jctil.2	$$⊢\chi$$
3	2	a1i	$$⊢\phi \to \chi$$
4	3 1	jca	$$⊢\phi \to \left(\chi \wedge \psi \right)$$