Theorem uun123p3

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	uun123p3.1	$$⊢\left(\psi \wedge \chi \wedge \phi \right)\to \theta$$
Assertion	uun123p3	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		uun123p3.1	$$⊢\left(\psi \wedge \chi \wedge \phi \right)\to \theta$$
2	1	3comr	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$