Theorem rexnal2 2961

Description: Relationship between two restricted universal and existential quantifiers. (Contributed by Glauco Siliprandi, 11-Dec-2019.)

Assertion

Ref	Expression
rexnal2

Proof of Theorem rexnal2

Step	Hyp	Ref	Expression
1		rexnal 2905	. . 3
2	1	rexbii 2959	. 2
3		rexnal 2905	. 2
4	2, 3	bitri 249	1

Syntax hints:  -.wn 3  <->wb 184  A.wral 2807  E.wrex 2808

This theorem is referenced by:  isnsgrp  15915  tgdim01  23898  nn0prpw  30141  smprngopr  30449  ralnex2  31435

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