Theorem ancli

Description: Deduction conjoining antecedent to left of consequent. (Contributed by NM, 12-Aug-1993)

	Ref	Expression
Hypothesis	ancli.1	⊢ ( 𝜑 → 𝜓 )
Assertion	ancli	⊢ ( 𝜑 → ( 𝜑 ∧ 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		ancli.1	⊢ ( 𝜑 → 𝜓 )
2		id	⊢ ( 𝜑 → 𝜑 )
3	2 1	jca	⊢ ( 𝜑 → ( 𝜑 ∧ 𝜓 ) )