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Theorem nfcxfr 2175
Description: A utility lemma to transfer a bound-variable hypothesis builder into a definition. (Contributed by Mario Carneiro, 11-Aug-2016.)
Hypotheses
Ref Expression
nfceqi.1
nfcxfr.2  F/_
Assertion
Ref Expression
nfcxfr  F/_

Proof of Theorem nfcxfr
StepHypRef Expression
1 nfcxfr.2 . 2  F/_
2 nfceqi.1 . . 3
32nfceqi 2174 . 2  F/_  F/_
41, 3mpbir 134 1  F/_
Colors of variables: wff set class
Syntax hints:   wceq 1243   F/_wnfc 2165
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-4 1400  ax-17 1419  ax-ial 1427  ax-ext 2022
This theorem depends on definitions:  df-bi 110  df-nf 1350  df-cleq 2033  df-clel 2036  df-nfc 2167
This theorem is referenced by:  nfrab1  2486  nfrabxy  2487  nfdif  3062  nfun  3096  nfin  3140  nfpw  3366  nfpr  3414  nfsn  3424  nfop  3559  nfuni  3580  nfint  3619  nfiunxy  3677  nfiinxy  3678  nfiunya  3679  nfiinya  3680  nfiu1  3681  nfii1  3682  nfopab  3819  nfopab1  3820  nfopab2  3821  nfmpt  3843  nfmpt1  3844  repizf2  3909  nfsuc  4114  nfxp  4317  nfco  4447  nfcnv  4460  nfdm  4524  nfrn  4525  nfres  4560  nfima  4622  nfiota1  4815  nffv  5131  fvmptss2  5193  fvmptssdm  5201  fvmptf  5209  ralrnmpt  5255  rexrnmpt  5256  f1ompt  5266  f1mpt  5356  fliftfun  5382  nfriota1  5421  riotaprop  5437  nfoprab1  5499  nfoprab2  5500  nfoprab3  5501  nfoprab  5502  nfmpt21  5516  nfmpt22  5517  nfmpt2  5518  ovmpt2s  5569  ov2gf  5570  ovi3  5582  nftpos  5839  nfrecs  5867  nffrec  5925  xpcomco  6240  caucvgprprlemaddq  6696  nfiseq  8990
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