Theorem rp-simp2

Description: Simplification of triple conjunction. Identical to simp2 . (Contributed by RP, 24-Dec-2019) (Proof modification is discouraged.)

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

Proof

Step	Hyp	Ref	Expression
1		rp-simp2-frege	$$⊢\phi \to \left(\psi \to \left(\chi \to \psi \right)\right)$$
2	1	3imp	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \psi$$