This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem uunT21

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 3-Dec-2015) (Proof modification is discouraged.) (New usage is discouraged.) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	uunT21.1	$⊢ (⊤ \land (φ \land ψ)) \to χ$
	Assertion	uunT21	$⊢ (φ \land ψ) \to χ$

Proof

Step	Hyp	Ref	Expression
1		uunT21.1	$⊢ (⊤ \land (φ \land ψ)) \to χ$
2	1	uunT1	$⊢ (φ \land ψ) \to χ$