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Theorem nfceqi 2615
Description: Equality theorem for class not-free. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof shortened by Wolf Lammen, 16-Nov-2019.)
Hypothesis
Ref Expression
nfceqi.1
Assertion
Ref Expression
nfceqi

Proof of Theorem nfceqi
StepHypRef Expression
1 nftru 1626 . . 3
2 nfceqi.1 . . . 4
32a1i 11 . . 3
41, 3nfceqdf 2614 . 2
54trud 1404 1
Colors of variables: wff setvar class
Syntax hints:  <->wb 184  =wceq 1395   wtru 1396  F/_wnfc 2605
This theorem is referenced by:  nfcxfr  2617  nfcxfrd  2618
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-cleq 2449  df-clel 2452  df-nfc 2607
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