Theorem nfsbd 2186

Description: Deduction version of nfsb 2184. (Contributed by NM, 15-Feb-2013.)

Hypotheses

Ref	Expression
nfsbd.1
nfsbd.2

Assertion

Ref	Expression
nfsbd

Distinct variable group:   ,

Proof of Theorem nfsbd

Step	Hyp	Ref	Expression
1		nfsbd.1	. . . 4
2		nfsbd.2	. . . 4
3	1, 2	alrimi 1877	. . 3
4		nfsb4t 2130	. . 3
5	3, 4	syl 16	. 2
6		ax16nf 1944	. 2
7	5, 6	pm2.61d2 160	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393  F/wnf 1616  [wsb 1739

This theorem is referenced by:  nfabd2  2640  wl-sb8eut  30022

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

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-sb 1740