Theorem simp1l

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

	Ref	Expression
Assertion	simp1l	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ∧ 𝜃 ) → 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		simpl	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )
2	1	3ad2ant1	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ∧ 𝜃 ) → 𝜑 )