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Metamath Proof Explorer

Theorem uun123p2

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	uun123p2.1	$⊢ (χ \land φ \land ψ) \to θ$
	Assertion	uun123p2	$⊢ (φ \land ψ \land χ) \to θ$

Proof

Step	Hyp	Ref	Expression
1		uun123p2.1	$⊢ (χ \land φ \land ψ) \to θ$
2	1	3coml	$⊢ (φ \land ψ \land χ) \to θ$