Theorem hbsb3 2103

Description: If is not free in , is not free in . (Contributed by NM, 14-May-1993.)

Hypothesis

Ref	Expression
hbsb3.1

Assertion

Ref	Expression
hbsb3

Proof of Theorem hbsb3

Step	Hyp	Ref	Expression
1		hbsb3.1	. . 3
2	1	sbimi 1745	. 2
3		hbsb2a 2101	. 2
4	2, 3	syl 16	1

Syntax hints:  ->wi 4  A.wal 1393  [wsb 1739

This theorem is referenced by:  nfs1  2104  axc16ALT  2105

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-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