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Theorem riotav 6262
Description: An iota restricted to the universe is unrestricted. (Contributed by NM, 18-Sep-2011.)
Assertion
Ref Expression
riotav

Proof of Theorem riotav
StepHypRef Expression
1 df-riota 6257 . 2
2 vex 3112 . . . 4
32biantrur 506 . . 3
43iotabii 5578 . 2
51, 4eqtr4i 2489 1
Colors of variables: wff setvar class
Syntax hints:  /\wa 369  =wceq 1395  e.wcel 1818   cvv 3109  iotacio 5554  iota_crio 6256
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-rex 2813  df-v 3111  df-uni 4250  df-iota 5556  df-riota 6257
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