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Theorem nfov 5478
Description: Bound-variable hypothesis builder for operation value. (Contributed by NM, 4-May-2004.)
Hypotheses
Ref Expression
nfov.1  F/_
nfov.2  F/_ F
nfov.3  F/_
Assertion
Ref Expression
nfov  F/_ F

Proof of Theorem nfov
StepHypRef Expression
1 nfov.1 . . . 4  F/_
21a1i 9 . . 3  F/_
3 nfov.2 . . . 4  F/_ F
43a1i 9 . . 3  F/_ F
5 nfov.3 . . . 4  F/_
65a1i 9 . . 3  F/_
72, 4, 6nfovd 5477 . 2  F/_ F
87trud 1251 1  F/_ F
Colors of variables: wff set class
Syntax hints:   wtru 1243   F/_wnfc 2162  (class class class)co 5455
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 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bnd 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-3an 886  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-rex 2306  df-v 2553  df-un 2916  df-sn 3373  df-pr 3374  df-op 3376  df-uni 3572  df-br 3756  df-iota 4810  df-fv 4853  df-ov 5458
This theorem is referenced by:  csbov123g  5485  ovmpt2s  5566  ov2gf  5567  ovmpt2dxf  5568  ovmpt2dv2  5576  ovi3  5579  offval2  5668  nfiseq  8858
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