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Theorem wl-nfae1 35686
Description: Unlike nfae 2433, this specialized theorem avoids ax-11 2154. (Contributed by Wolf Lammen, 26-Jun-2019.)
Assertion
Ref Expression
wl-nfae1 𝑥𝑦 𝑦 = 𝑥

Proof of Theorem wl-nfae1
StepHypRef Expression
1 aecom 2427 . 2 (∀𝑦 𝑦 = 𝑥 ↔ ∀𝑥 𝑥 = 𝑦)
2 nfa1 2148 . 2 𝑥𝑥 𝑥 = 𝑦
31, 2nfxfr 1855 1 𝑥𝑦 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  wal 1537  wnf 1786
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1913  ax-6 1971  ax-7 2011  ax-10 2137  ax-12 2171  ax-13 2372
This theorem depends on definitions:  df-bi 206  df-an 397  df-or 845  df-ex 1783  df-nf 1787
This theorem is referenced by:  wl-nfnae1  35687
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