Theorem simprl

Description: Simplification of a conjunction. (Contributed by NM, 21-Mar-2007)

	Ref	Expression
Assertion	simprl	⊢ ( ( 𝜑 ∧ ( 𝜓 ∧ 𝜒 ) ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝜓 → 𝜓 )
2	1	ad2antrl	⊢ ( ( 𝜑 ∧ ( 𝜓 ∧ 𝜒 ) ) → 𝜓 )