Theorem eel0321old

Description: el0321old without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	eel0321old.1	$$⊢\phi$$
	eel0321old.2	$$⊢\left(\psi \wedge \chi \wedge \theta \right)\to \tau$$
	eel0321old.3	$$⊢\left(\phi \wedge \tau \right)\to \eta$$
Assertion	eel0321old	$$⊢\left(\psi \wedge \chi \wedge \theta \right)\to \eta$$

Proof

Step	Hyp	Ref	Expression
1		eel0321old.1	$$⊢\phi$$
2		eel0321old.2	$$⊢\left(\psi \wedge \chi \wedge \theta \right)\to \tau$$
3		eel0321old.3	$$⊢\left(\phi \wedge \tau \right)\to \eta$$
4	1 2 3	sylancr	$$⊢\left(\psi \wedge \chi \wedge \theta \right)\to \eta$$