Theorem simpll

Description: Simplification of a conjunction. (Contributed by NM, 18-Mar-2007)

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

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝜑 → 𝜑 )
2	1	ad2antrr	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜑 )