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Theorem bj-nfcri 31529
Description: Remove dependency on ax-ext 2451 (and df-cleq 2464) from nfcri 2606. (Contributed by BJ, 6-Oct-2019.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
bj-nfcri.1  |-  F/_ x A
Assertion
Ref Expression
bj-nfcri  |-  F/ x  y  e.  A
Distinct variable group:    x, y
Allowed substitution hints:    A( x, y)

Proof of Theorem bj-nfcri
StepHypRef Expression
1 bj-nfcri.1 . . 3  |-  F/_ x A
21bj-nfcrii 31528 . 2  |-  ( y  e.  A  ->  A. x  y  e.  A )
32nfi 1682 1  |-  F/ x  y  e.  A
Colors of variables: wff setvar class
Syntax hints:   F/wnf 1675    e. wcel 1904   F/_wnfc 2599
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104
This theorem depends on definitions:  df-bi 190  df-or 377  df-an 378  df-ex 1672  df-nf 1676  df-sb 1806  df-clel 2467  df-nfc 2601
This theorem is referenced by:  bj-nfnfc  31530
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