Theorem hbsb2e 2102

Description: Special case of a bound-variable hypothesis builder for substitution. (Contributed by NM, 2-Feb-2007.)

Assertion

Ref	Expression
hbsb2e

Proof of Theorem hbsb2e

Step	Hyp	Ref	Expression
1		sb4e 1998	. 2
2		sb2 2093	. . 3
3	2	axc4i 1898	. 2
4	1, 3	syl 16	1

Syntax hints:  ->wi 4  A.wal 1393  E.wex 1612  [wsb 1739

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