Theorem trubitru 1393

Description: A <-> identity. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.)

Assertion

Ref	Expression
trubitru	|- ( ( T. <-> T. ) <-> T. )

Proof of Theorem trubitru

Step	Hyp	Ref	Expression
1		biid 170	. 2 |- ( T. <-> T. )
2	1	bitru 1343	1 |- ( ( T. <-> T. ) <-> T. )

Syntax hints:   <-> wb 104   T. wtru 1332

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

This theorem depends on definitions:  df-bi 116  df-tru 1334

This theorem is referenced by: (None)