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Theorem wl-nfnae1 37236
Description: Unlike nfnae 2428, this specialized theorem avoids ax-11 2147. (Contributed by Wolf Lammen, 27-Jun-2019.)
Assertion
Ref Expression
wl-nfnae1 𝑥 ¬ ∀𝑦 𝑦 = 𝑥

Proof of Theorem wl-nfnae1
StepHypRef Expression
1 wl-nfae1 37235 . 2 𝑥𝑦 𝑦 = 𝑥
21nfn 1853 1 𝑥 ¬ ∀𝑦 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wal 1532  wnf 1778
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-10 2130  ax-12 2167  ax-13 2366
This theorem depends on definitions:  df-bi 206  df-an 395  df-or 846  df-ex 1775  df-nf 1779
This theorem is referenced by:  wl-cbvalnaed  37240  wl-2sb6d  37266
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