Theorem ibd 243

Description: Deduction that converts a biconditional implied by one of its arguments, into an implication. (Contributed by NM, 26-Jun-2004.)

Hypothesis

Ref	Expression
ibd.1

Assertion

Ref	Expression
ibd

Proof of Theorem ibd

Step	Hyp	Ref	Expression
1		ibd.1	. 2
2		bi1 186	. 2
3	1, 2	syli 37	1

Syntax hints:  ->wi 4  <->wb 184

This theorem is referenced by:  sssn  4188  unblem2  7793  atcv0eq  27298  atcv1  27299  atomli  27301  atcvatlem  27304  ibdr  30593

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