Theorem r19.35 3004

Description: Restricted quantifier version of 19.35 1687. (Contributed by NM, 20-Sep-2003.)

Assertion

Ref	Expression
r19.35

Proof of Theorem r19.35

Step	Hyp	Ref	Expression
1		r19.26 2984	. . . 4
2		annim 425	. . . . 5
3	2	ralbii 2888	. . . 4
4		df-an 371	. . . 4
5	1, 3, 4	3bitr3i 275	. . 3
6	5	con2bii 332	. 2
7		dfrex2 2908	. . 3
8	7	imbi2i 312	. 2
9		dfrex2 2908	. 2
10	6, 8, 9	3bitr4ri 278	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369  A.wral 2807  E.wrex 2808

This theorem is referenced by:  r19.36v  3005  r19.37  3006  r19.43  3013  r19.37zv  3925  r19.36zv  3930  iinexg  4612  bndndx  10819  nmobndseqi  25694  nmobndseqiOLD  25695

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-ral 2812  df-rex 2813