Theorem a1tru 1460

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 1448	. 2 |- T.
2	1	a1i 11	1 |- ( ph -> T. )

Syntax hints:   -> wi 4   T. wtru 1445

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 189  df-tru 1447

This theorem is referenced by:  disjprg  4398  euotd  4702  elabrex  6148  riota5f  6276  mptexgf  28225  ac6s6  32415  lhpexle1  33573  cnvtrucl0  36231  elabrexg  37370