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Theorem nfrel 4965
 Description: Bound-variable hypothesis builder for a relation. (Contributed by NM, 31-Jan-2004.) (Revised by Mario Carneiro, 15-Oct-2016.)
Hypothesis
Ref Expression
nfrel.1
Assertion
Ref Expression
nfrel

Proof of Theorem nfrel
StepHypRef Expression
1 df-rel 4888 . 2
2 nfrel.1 . . 3
3 nfcv 2574 . . 3
42, 3nfss 3343 . 2
51, 4nfxfr 1580 1
 Colors of variables: wff set class Syntax hints:  wnf 1554  wnfc 2561  cvv 2958   wss 3322   cxp 4879   wrel 4886 This theorem is referenced by:  nffun  5479 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ral 2712  df-in 3329  df-ss 3336  df-rel 4888
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