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Theorem nfexOLD 2153
Description: Obsolete proof of nfex 2152 as of 16-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof shortened by Wolf Lammen, 30-Dec-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nfexOLD.1 𝑥𝜑
Assertion
Ref Expression
nfexOLD 𝑥𝑦𝜑

Proof of Theorem nfexOLD
StepHypRef Expression
1 nfexOLD.1 . . . 4 𝑥𝜑
21nf5ri 2063 . . 3 (𝜑 → ∀𝑥𝜑)
32hbexOLD 2150 . 2 (∃𝑦𝜑 → ∀𝑥𝑦𝜑)
43nf5i 2022 1 𝑥𝑦𝜑
Colors of variables: wff setvar class
Syntax hints:  wex 1702  wnf 1706
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1720  ax-4 1735  ax-5 1837  ax-6 1886  ax-7 1933  ax-10 2017  ax-11 2032  ax-12 2045
This theorem depends on definitions:  df-bi 197  df-or 385  df-ex 1703  df-nf 1708
This theorem is referenced by: (None)
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