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Metamath Proof Explorer

Theorem anabss7p1

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. This would have been named uun221 if the zeroth permutation did not exist in set.mm as anabss7 . (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	anabss7p1.1	$⊢ ((ψ \land φ) \land φ) \to χ$
	Assertion	anabss7p1	$⊢ (ψ \land φ) \to χ$

Proof

Step	Hyp	Ref	Expression
1		anabss7p1.1	$⊢ ((ψ \land φ) \land φ) \to χ$
2	1	anabss3	$⊢ (ψ \land φ) \to χ$