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Theorem nfel1 2188
 Description: Hypothesis builder for elementhood, special case. (Contributed by Mario Carneiro, 10-Oct-2016.)
Hypothesis
Ref Expression
nfeq1.1
Assertion
Ref Expression
nfel1
Distinct variable group:   ,
Allowed substitution hint:   ()

Proof of Theorem nfel1
StepHypRef Expression
1 nfeq1.1 . 2
2 nfcv 2178 . 2
31, 2nfel 2186 1
 Colors of variables: wff set class Syntax hints:  wnf 1349   wcel 1393  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-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-cleq 2033  df-clel 2036  df-nfc 2167 This theorem is referenced by:  vtocl2gf  2615  vtocl3gf  2616  vtoclgaf  2618  vtocl2gaf  2620  vtocl3gaf  2622  nfop  3565  pofun  4049  nfse  4078  rabxfrd  4201  mptfvex  5256  fvmptf  5263  fmptcof  5331  fliftfuns  5438  riota2f  5489  ovmpt2s  5624  ov2gf  5625  fmpt2x  5826  mpt2fvex  5829  qliftfuns  6190
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