Theorem rbaibr 905

Description: Move conjunction outside of biconditional. (Contributed by Mario Carneiro, 11-Sep-2015.) (Proof shortened by Wolf Lammen, 19-Jan-2020.)

Hypothesis

Ref	Expression
baib.1

Assertion

Ref	Expression
rbaibr

Proof of Theorem rbaibr

Step	Hyp	Ref	Expression
1		iba 503	. 2
2		baib.1	. 2
3	1, 2	syl6bbr 263	1

Syntax hints:  ->wi 4  <->wb 184  /\wa 369

This theorem is referenced by:  rbaib  906  ssunsn2  4189  cmpfi  19908  sdrgacs  31150  nanorxor  31185

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

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