Theorem bitru 1326

Description: A theorem is equivalent to truth. (Contributed by Mario Carneiro, 9-May-2015.)

Hypothesis

Ref	Expression
bitru.1	|- ph

Assertion

Ref	Expression
bitru	|- ( ph <-> T. )

Proof of Theorem bitru

Step	Hyp	Ref	Expression
1		bitru.1	. 2 |- ph
2		tru 1318	. 2 |- T.
3	1, 2	2th 173	1 |- ( ph <-> T. )

Syntax hints:   <-> wb 104   T. wtru 1315

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116  df-tru 1317

This theorem is referenced by:  truorfal  1367  falortru  1368  truimtru  1370  falimtru  1372  falimfal  1373  notfal  1375  trubitru  1376  falbifal  1379