Theorem ancri

Description: Deduction conjoining antecedent to right of consequent. (Contributed by NM, 15-Aug-1994)

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

Proof

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