Theorem sbi2 2134

Description: Introduction of implication into substitution. (Contributed by NM, 14-May-1993.)

Assertion

Ref	Expression
sbi2

Proof of Theorem sbi2

Step	Hyp	Ref	Expression
1		sbn 2132	. . 3
2		pm2.21 108	. . . 4
3	2	sbimi 1745	. . 3
4	1, 3	sylbir 213	. 2
5		ax-1 6	. . 3
6	5	sbimi 1745	. 2
7	4, 6	ja 161	1

Syntax hints:  -.wn 3  ->wi 4  [wsb 1739

This theorem is referenced by:  sbim  2136

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-or 370  df-an 371  df-ex 1613  df-nf 1617  df-sb 1740