Theorem falimtru 1406

Description: A -> identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
falimtru	|- ( ( F. -> T. ) <-> T. )

Proof of Theorem falimtru

Step	Hyp	Ref	Expression
1		falim 1362	. 2 |- ( F. -> T. )
2	1	bitru 1360	1 |- ( ( F. -> T. ) <-> T. )

Syntax hints:   -> wi 4   <-> wb 104   T. wtru 1349   F. wfal 1353

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 609  ax-in2 610

This theorem depends on definitions:  df-bi 116  df-tru 1351  df-fal 1354

This theorem is referenced by:  trubifal  1411