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Theorem nfriOLD 2177
 Description: Obsolete proof of nf5ri 2053 as of 6-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nfriOLD.1 𝑥𝜑
Assertion
Ref Expression
nfriOLD (𝜑 → ∀𝑥𝜑)

Proof of Theorem nfriOLD
StepHypRef Expression
1 nfriOLD.1 . 2 𝑥𝜑
2 nfrOLD 2176 . 2 (Ⅎ𝑥𝜑 → (𝜑 → ∀𝑥𝜑))
31, 2ax-mp 5 1 (𝜑 → ∀𝑥𝜑)
 Colors of variables: wff setvar class Syntax hints:   → wi 4  ∀wal 1473  ℲwnfOLD 1700 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-4 1728  ax-5 1827  ax-6 1875  ax-7 1922  ax-12 2034 This theorem depends on definitions:  df-bi 196  df-ex 1696  df-nfOLD 1712 This theorem is referenced by:  alimdOLD  2179  alrimiOLD  2180  eximdOLD  2185  nexdOLD  2186  albidOLD  2187  exbidOLD  2188  19.3OLD  2190  nfim1OLD  2216  hbanOLD  2228  hb3anOLD  2229
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