Theorem jctir

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

	Ref	Expression
Hypotheses	jctil.1	⊢ ( 𝜑 → 𝜓 )
	jctil.2	⊢ 𝜒
Assertion	jctir	⊢ ( 𝜑 → ( 𝜓 ∧ 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		jctil.1	⊢ ( 𝜑 → 𝜓 )
2		jctil.2	⊢ 𝜒
3	2	a1i	⊢ ( 𝜑 → 𝜒 )
4	1 3	jca	⊢ ( 𝜑 → ( 𝜓 ∧ 𝜒 ) )