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Theorem helloworld 20854
Description: The classic "Hello world" benchmark has been translated into 314 computer programming languages - see http://www.roesler-ac.de/wolfram/hello.htm. However, for many years it eluded a proof that it is more than just a conjecture, even though a wily mathematician once claimed, "I have discovered a truly marvelous proof of this, which this margin is too narrow to contain." Using an IBM 709 mainframe, a team of mathematicians led by Prof. Loof Lirpa, at the New College of Tahiti, were finally able put it rest with a remarkably short proof only 4 lines long. (Contributed by Prof. Loof Lirpa, 1-Apr-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
helloworld  |-  -.  (
h  e.  ( L L 0 )  /\  W (/) ( R. 1 d ) )

Proof of Theorem helloworld
StepHypRef Expression
1 noel 3472 . . 3  |-  -.  <. W ,  ( R. 1 d ) >.  e.  (/)
2 df-br 4040 . . 3  |-  ( W
(/) ( R. 1 d )  <->  <. W , 
( R. 1 d ) >.  e.  (/) )
31, 2mtbir 290 . 2  |-  -.  W (/) ( R. 1 d )
43intnan 880 1  |-  -.  (
h  e.  ( L L 0 )  /\  W (/) ( R. 1 d ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    /\ wa 358    e. wcel 1696   (/)c0 3468   <.cop 3656   class class class wbr 4039  (class class class)co 5874   R.cnr 8505   0cc0 8753   1c1 8754
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-7 1720  ax-11 1727  ax-12 1878  ax-ext 2277
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1310  df-ex 1532  df-nf 1535  df-sb 1639  df-clab 2283  df-cleq 2289  df-clel 2292  df-nfc 2421  df-v 2803  df-dif 3168  df-nul 3469  df-br 4040
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