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 1321	. 2 |- T.
3	1, 2	2th 230	1 |- (ph <-> T. )

Syntax hints:   <-> wb 176   T. wtru 1316

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 177  df-tru 1319

This theorem is referenced by:  truorfal  1341  falortru  1342  truimtru  1344  falimtru  1346  falimfal  1347  notfal  1349  trubitru  1350  falbifal  1353