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Theorem nfel1 2499
Description: Hypothesis builder for elementhood, special case. (Contributed by Mario Carneiro, 10-Oct-2016.)
Hypothesis
Ref Expression
nfeq1.1  F/_
Assertion
Ref Expression
nfel1  F/
Distinct variable group:   ,
Allowed substitution hint:   ()

Proof of Theorem nfel1
StepHypRef Expression
1 nfeq1.1 . 2  F/_
2 nfcv 2489 . 2  F/_
31, 2nfel 2497 1  F/
Colors of variables: wff setvar class
Syntax hints:   F/wnf 1544   wcel 1710   F/_wnfc 2476
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-cleq 2346  df-clel 2349  df-nfc 2478
This theorem is referenced by:  vtocl2gf  2916  vtocl3gf  2917  vtoclgaf  2919  vtocl2gaf  2921  vtocl3gaf  2923  ov2gf  5711  fvmptf  5722  fmpt2x  5730
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