Theorem uun2131

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	uun2131.1	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \left(\phi \wedge \chi \right)\right)\to \theta$$
Assertion	uun2131	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		uun2131.1	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \left(\phi \wedge \chi \right)\right)\to \theta$$
2	1	3impdi	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$