Theorem bi3 187

Description: Property of the biconditional connective. (Contributed by NM, 11-May-1999.)

Assertion

Ref	Expression
bi3

Proof of Theorem bi3

Step	Hyp	Ref	Expression
1		df-bi 185	. . 3
2		simprim 150	. . 3
3	1, 2	ax-mp 5	. 2
4	3	expi 149	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184

This theorem is referenced by:  impbii  188  impbidd  189  dfbi1  192  bisymOLD  290  eqsbc3rVD  33640  orbi1rVD  33648  3impexpVD  33656  3impexpbicomVD  33657  imbi12VD  33673  sbcim2gVD  33675  sb5ALTVD  33713  bj-bisym  34179

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