Theorem r19.26-3 2986

Description: Version of r19.26 2984 with three quantifiers. (Contributed by FL, 22-Nov-2010.)

Assertion

Ref	Expression
r19.26-3

Proof of Theorem r19.26-3

Step	Hyp	Ref	Expression
1		df-3an 975	. . 3
2	1	ralbii 2888	. 2
3		r19.26 2984	. 2
4		r19.26 2984	. . . 4
5	4	anbi1i 695	. . 3
6		df-3an 975	. . 3
7	5, 6	bitr4i 252	. 2
8	2, 3, 7	3bitri 271	1

Syntax hints:  <->wb 184  /\wa 369  /\w3a 973  A.wral 2807

This theorem is referenced by:  sgrp2rid2ex  16045  axeuclid  24266  axcontlem8  24274  stoweidlem60  31842

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-3an 975  df-ral 2812