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Theorem nfiotaxy 4814
Description: Bound-variable hypothesis builder for the  iota class. (Contributed by NM, 23-Aug-2011.)
Hypothesis
Ref Expression
nfiota.1  F/
Assertion
Ref Expression
nfiotaxy  F/_ iota
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem nfiotaxy
StepHypRef Expression
1 nftru 1352 . . 3  F/
2 nfiota.1 . . . 4  F/
32a1i 9 . . 3  F/
41, 3nfiotadxy 4813 . 2  F/_ iota
54trud 1251 1  F/_ iota
Colors of variables: wff set class
Syntax hints:   wtru 1243   F/wnf 1346   F/_wnfc 2162   iotacio 4808
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bnd 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-rex 2306  df-sn 3373  df-uni 3572  df-iota 4810
This theorem is referenced by:  csbiotag  4838  nffv  5128
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