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Theorem fv2 5409
 Description: Alternate definition of function value. Definition 10.11 of [Quine] p. 68. (Contributed by NM, 30-Apr-2004.) (Proof shortened by Andrew Salmon, 17-Sep-2011.) (Revised by Mario Carneiro, 31-Aug-2015.)
Assertion
Ref Expression
fv2
Distinct variable groups:   ,,   ,,

Proof of Theorem fv2
StepHypRef Expression
1 df-fv 5126 . 2
2 dfiota2 5084 . 2
31, 2eqtri 2158 1
 Colors of variables: wff set class Syntax hints:   wb 104  wal 1329   wceq 1331  cab 2123  cuni 3731   class class class wbr 3924  cio 5081  cfv 5118 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 2119 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2124  df-cleq 2130  df-clel 2133  df-nfc 2268  df-rex 2420  df-sn 3528  df-uni 3732  df-iota 5083  df-fv 5126 This theorem is referenced by:  elfv  5412
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