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Theorem strnfvn 12055
 Description: Value of a structure component extractor . Normally, is a defined constant symbol such as (df-base 12040) and is a fixed integer such as . is a structure, i.e. a specific member of a class of structures. Note: Normally, this theorem shouldn't be used outside of this section, because it requires hard-coded index values. Instead, use strslfv 12078. (Contributed by NM, 9-Sep-2011.) (Revised by Jim Kingdon, 19-Jan-2023.) (New usage is discouraged.)
Hypotheses
Ref Expression
strnfvn.f
strnfvn.c Slot
strnfvn.n
Assertion
Ref Expression
strnfvn

Proof of Theorem strnfvn
StepHypRef Expression
1 strnfvn.c . . 3 Slot
2 strnfvn.f . . . 4
32a1i 9 . . 3
4 strnfvn.n . . . 4
54a1i 9 . . 3
61, 3, 5strnfvnd 12054 . 2
76mptru 1341 1
 Colors of variables: wff set class Syntax hints:   wceq 1332   wtru 1333   wcel 1481  cvv 2691  cfv 5135  cn 8773  Slot cslot 12033 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 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-bndl 1487  ax-4 1488  ax-13 1492  ax-14 1493  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516  ax-ext 2123  ax-sep 4056  ax-pow 4108  ax-pr 4142  ax-un 4366 This theorem depends on definitions:  df-bi 116  df-3an 965  df-tru 1335  df-nf 1438  df-sb 1738  df-eu 2004  df-mo 2005  df-clab 2128  df-cleq 2134  df-clel 2137  df-nfc 2272  df-ral 2423  df-rex 2424  df-v 2693  df-sbc 2916  df-un 3082  df-in 3084  df-ss 3091  df-pw 3519  df-sn 3540  df-pr 3541  df-op 3543  df-uni 3747  df-br 3940  df-opab 4000  df-mpt 4001  df-id 4226  df-xp 4557  df-rel 4558  df-cnv 4559  df-co 4560  df-dm 4561  df-rn 4562  df-iota 5100  df-fun 5137  df-fv 5143  df-slot 12038 This theorem is referenced by:  ndxarg  12057  strsl0  12082  baseval  12086
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