Metamath Proof Explorer


Theorem anabss7p1

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. This would have been named uun221 if the 0th 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 ( ( ( 𝜓𝜑 ) ∧ 𝜑 ) → 𝜒 )
Assertion anabss7p1 ( ( 𝜓𝜑 ) → 𝜒 )

Proof

Step Hyp Ref Expression
1 anabss7p1.1 ( ( ( 𝜓𝜑 ) ∧ 𝜑 ) → 𝜒 )
2 1 anabss3 ( ( 𝜓𝜑 ) → 𝜒 )