Theorem 2albiim 1700

Description: Split a biconditional and distribute two quantifiers. (Contributed by NM, 3-Feb-2005.)

Assertion

Ref	Expression
2albiim

Proof of Theorem 2albiim

Step	Hyp	Ref	Expression
1		albiim 1699	. . 3
2	1	albii 1640	. 2
3		19.26 1680	. 2
4	2, 3	bitri 249	1

Syntax hints:  ->wi 4  <->wb 184  /\wa 369  A.wal 1393

This theorem is referenced by:  sbnf2  2183  2eu6  2383  2eu6OLD  2384  eqopab2b  4782  eqrel  5097  eqrelrel  5109  eqoprab2b  6355  eqrelrd2  27467  pm14.123a  31332

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