Theorem simp1i

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

	Ref	Expression
Hypothesis	3simp1i.1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)$$
Assertion	simp1i	$$⊢\phi$$

Proof

Step	Hyp	Ref	Expression
1		3simp1i.1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)$$
2		simp1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \phi$$
3	1 2	ax-mp	$$⊢\phi$$