Theorem simp1

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

	Ref	Expression
Assertion	simp1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \phi$$

Proof

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