Theorem nfriota1 6264

Description: The abstraction variable in a restricted iota descriptor isn't free. (Contributed by NM, 12-Oct-2011.) (Revised by Mario Carneiro, 15-Oct-2016.)

Assertion

Ref	Expression
nfriota1

Distinct variable group:   ,

Proof of Theorem nfriota1

Step	Hyp	Ref	Expression
1		df-riota 6257	. 2
2		nfiota1 5558	. 2
3	1, 2	nfcxfr 2617	1

Syntax hints:  /\wa 369  e.wcel 1818  F/_wnfc 2605  iotacio 5554  iota_crio 6256

This theorem is referenced by:  riotaprop  6281  riotass2  6284  riotass  6285  riotaxfrd  6288  lble  10520  riotaneg  10543  zriotaneg  11002  riotaocN  34934  ltrniotaval  36307  cdlemksv2  36573  cdlemkuv2  36593  cdlemk36  36639

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-ral 2812  df-rex 2813  df-sn 4030  df-uni 4250  df-iota 5556  df-riota 6257