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

Step	Hyp	Ref	Expression
1		bj-nfcri.1	. . 3 |- F/_ x A
2	1	bj-nfcrii 31528	. 2 |- ( y e. A -> A. x y e. A )
3	2	nfi 1682	1 |- F/ x y e. A

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