Theorem r19.29d2r 3000

Description: Theorem 19.29 of [Margaris] p. 90 with two restricted quantifiers, deduction version (Contributed by Thierry Arnoux, 30-Jan-2017.)

Hypotheses

Ref	Expression
r19.29d2r.1
r19.29d2r.2

Assertion

Ref	Expression
r19.29d2r

Proof of Theorem r19.29d2r

Step	Hyp	Ref	Expression
1		r19.29d2r.1	. . 3
2		r19.29d2r.2	. . 3
3		r19.29 2992	. . 3
4	1, 2, 3	syl2anc 661	. 2
5		r19.29 2992	. . 3
6	5	reximi 2925	. 2
7	4, 6	syl 16	1

Syntax hints:  ->wi 4  /\wa 369  A.wral 2807  E.wrex 2808

This theorem is referenced by:  r19.29_2a  3001  ucnima  20784  tgisline  24007  rnmpt2ss  27515  xrofsup  27582

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