Theorem a1tru 1386

Description: Anything implies T.. (Contributed by FL, 20-Mar-2011.) (Proof shortened by Anthony Hart, 1-Aug-2011.)

Assertion

Ref	Expression
a1tru	|- ( ph -> T. )

Proof of Theorem a1tru

Step	Hyp	Ref	Expression
1		tru 1374	. 2 |- T.
2	1	a1i 11	1 |- ( ph -> T. )

Syntax hints:   -> wi 4   T. wtru 1371

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  df-tru 1373

This theorem is referenced by:  truanOLD  1388  disjprg  4386  euotd  4690  elabrex  6059  riota5f  6176  ac6s6  29122  lhpexle1  33958