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Theorem wl-nfnae1 37529
Description: Unlike nfnae 2439, this specialized theorem avoids ax-11 2157. (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 37528 . 2 𝑥𝑦 𝑦 = 𝑥
21nfn 1857 1 𝑥 ¬ ∀𝑦 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wal 1538  wnf 1783
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2007  ax-10 2141  ax-12 2177  ax-13 2377
This theorem depends on definitions:  df-bi 207  df-an 396  df-or 849  df-ex 1780  df-nf 1784
This theorem is referenced by:  wl-cbvalnaed  37533  wl-2sb6d  37559
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