Theorem rexbid 2967

Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by NM, 27-Jun-1998.)

Hypotheses

Ref	Expression
rexbid.1
rexbid.2

Assertion

Ref	Expression
rexbid

Proof of Theorem rexbid

Step	Hyp	Ref	Expression
1		rexbid.1	. 2
2		rexbid.2	. . 3
3	2	adantr 465	. 2
4	1, 3	rexbida 2963	1

Syntax hints:  ->wi 4  <->wb 184  F/wnf 1616  e.wcel 1818  E.wrex 2808

This theorem is referenced by:  rexbidvALT  2969  rexeqbid  3067  scott0  8325  infcvgaux1i  13668  bnj1463  34111

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  ax-6 1747  ax-7 1790  ax-12 1854

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-rex 2813