Theorem nfsbc1 3346

Description: Bound-variable hypothesis builder for class substitution. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 12-Oct-2016.)

Hypothesis

Ref	Expression
nfsbc1.1

Assertion

Ref	Expression
nfsbc1

Proof of Theorem nfsbc1

Step	Hyp	Ref	Expression
1		nfsbc1.1	. . . 4
2	1	a1i 11	. . 3
3	2	nfsbc1d 3345	. 2
4	3	trud 1404	1

Syntax hints:  wtru 1396  F/wnf 1616  F/_wnfc 2605  [.wsbc 3327

This theorem is referenced by:  nfsbc1v  3347  riotass2  6284  riotass  6285

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-sbc 3328