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Theorem nfiota1 5412
 Description: Bound-variable hypothesis builder for the class. (Contributed by Andrew Salmon, 11-Jul-2011.) (Revised by Mario Carneiro, 15-Oct-2016.)
Assertion
Ref Expression
nfiota1

Proof of Theorem nfiota1
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 dfiota2 5411 . 2
2 nfaba1 2576 . . 3
32nfuni 4013 . 2
41, 3nfcxfr 2568 1
 Colors of variables: wff set class Syntax hints:   wb 177  wal 1549  cab 2421  wnfc 2558  cuni 4007  cio 5408 This theorem is referenced by:  iota2df  5434  sniota  5437  opabiota  6530  nfriota1  6549  nfriotad  6550  erovlem  6992  bnj1366  29138 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ral 2702  df-rex 2703  df-sn 3812  df-uni 4008  df-iota 5410
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