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Theorem tz6.12-2 5412
 Description: Function value when is not a function. Theorem 6.12(2) of [TakeutiZaring] p. 27. (Contributed by NM, 30-Apr-2004.) (Proof shortened by Mario Carneiro, 31-Aug-2015.)
Assertion
Ref Expression
tz6.12-2
Distinct variable groups:   ,   ,

Proof of Theorem tz6.12-2
StepHypRef Expression
1 df-fv 5131 . 2
2 iotanul 5103 . 2
31, 2syl5eq 2184 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wceq 1331  weu 1999  c0 3363   class class class wbr 3929  cio 5086  cfv 5123 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-in1 603  ax-in2 604  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-tru 1334  df-fal 1337  df-nf 1437  df-sb 1736  df-eu 2002  df-clab 2126  df-cleq 2132  df-clel 2135  df-nfc 2270  df-ral 2421  df-rex 2422  df-v 2688  df-dif 3073  df-in 3077  df-ss 3084  df-nul 3364  df-sn 3533  df-uni 3737  df-iota 5088  df-fv 5131 This theorem is referenced by:  fvprc  5415  ndmfvg  5452  nfunsn  5455
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