Theorem hbnd 1974

Description: Deduction form of bound-variable hypothesis builder hbn 1895. (Contributed by NM, 3-Jan-2002.)

Hypotheses

Ref	Expression
hbnd.1
hbnd.2

Assertion

Ref	Expression
hbnd

Proof of Theorem hbnd

Step	Hyp	Ref	Expression
1		hbnd.1	. . 3
2		hbnd.2	. . 3
3	1, 2	alrimih 1642	. 2
4		hbnt 1894	. 2
5	3, 4	syl 16	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393

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

This theorem depends on definitions:  df-bi 185  df-ex 1613