Theorem simp2

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Wolf Lammen, 22-Jun-2022)

	Ref	Expression
Assertion	simp2	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢\psi \to \psi$$
2	1	3ad2ant2	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \psi$$