Theorem simp1l

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

	Ref	Expression
Assertion	simp1l	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \wedge \theta \right)\to \phi$$

Proof

Step	Hyp	Ref	Expression
1		simpl	$$⊢\left(\phi \wedge \psi \right)\to \phi$$
2	1	3ad2ant1	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \wedge \theta \right)\to \phi$$