Theorem simp1i

Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005)

	Ref	Expression
Hypothesis	3simp1i.1	⊢ ( 𝜑 ∧ 𝜓 ∧ 𝜒 )
Assertion	simp1i	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		3simp1i.1	⊢ ( 𝜑 ∧ 𝜓 ∧ 𝜒 )
2		simp1	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜑 )
3	1 2	ax-mp	⊢ 𝜑