Theorem nfiota 5560

Description: Bound-variable hypothesis builder for the iota class. (Contributed by NM, 23-Aug-2011.)

Hypothesis

Ref	Expression
nfiota.1

Assertion

Ref	Expression
nfiota

Proof of Theorem nfiota

Step	Hyp	Ref	Expression
1		nftru 1626	. . 3
2		nfiota.1	. . . 4
3	2	a1i 11	. . 3
4	1, 3	nfiotad 5559	. 2
5	4	trud 1404	1

Syntax hints:  wtru 1396  F/wnf 1616  F/_wnfc 2605  iotacio 5554

This theorem is referenced by:  csbiota  5585  csbiotagOLD  5586  nffv  5878  nfsum1  13512  nfsum  13513  nfcprod1  13717  nfcprod  13718

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