Theorem ralrimdvv 2880

Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version with double quantification.) (Contributed by NM, 1-Jun-2005.)

Hypothesis

Ref	Expression
ralrimdvv.1

Assertion

Ref	Expression
ralrimdvv

Distinct variable groups:   ,,   ,,   ,

Proof of Theorem ralrimdvv

Step	Hyp	Ref	Expression
1		ralrimdvv.1	. . . 4
2	1	imp 429	. . 3
3	2	ralrimivv 2877	. 2
4	3	ex 434	1

Syntax hints:  ->wi 4  /\wa 369  e.wcel 1818  A.wral 2807

This theorem is referenced by:  ralrimdvva  2881  lspsneu  17769  pmatcoe1fsupp  19202  aalioulem4  22731  fargshiftf1  24637

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

This theorem depends on definitions:  df-bi 185  df-an 371  df-ral 2812