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Theorem nfrn 4784
 Description: Bound-variable hypothesis builder for range. (Contributed by NM, 1-Sep-1999.) (Revised by Mario Carneiro, 15-Oct-2016.)
Hypothesis
Ref Expression
nfrn.1
Assertion
Ref Expression
nfrn

Proof of Theorem nfrn
StepHypRef Expression
1 df-rn 4550 . 2
2 nfrn.1 . . . 4
32nfcnv 4718 . . 3
43nfdm 4783 . 2
51, 4nfcxfr 2278 1
 Colors of variables: wff set class Syntax hints:  wnfc 2268  ccnv 4538   cdm 4539   crn 4540 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-3an 964  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-nfc 2270  df-v 2688  df-un 3075  df-sn 3533  df-pr 3534  df-op 3536  df-br 3930  df-opab 3990  df-cnv 4547  df-dm 4549  df-rn 4550 This theorem is referenced by:  nfima  4889  nff  5269  nffo  5344  fliftfun  5697  nfseq  10235
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