Theorem hbimd 1921

Description: Deduction form of bound-variable hypothesis builder hbim 1922. (Contributed by NM, 14-May-1993.) (Proof shortened by Wolf Lammen, 3-Jan-2018.)

Hypotheses

Ref	Expression
hbimd.1
hbimd.2
hbimd.3

Assertion

Ref	Expression
hbimd

Proof of Theorem hbimd

Step	Hyp	Ref	Expression
1		hbimd.1	. . . 4
2		hbimd.2	. . . 4
3	1, 2	nfdh 1879	. . 3
4		hbimd.3	. . . 4
5	1, 4	nfdh 1879	. . 3
6	3, 5	nfimd 1917	. 2
7	6	nfrd 1875	1

Syntax hints:  ->wi 4  A.wal 1393

This theorem is referenced by:  dvelimf-o  2259

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  df-nf 1617