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Theorem helloworld 21759
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 3632 . . 3  |-  -.  <. W ,  ( R. 1 d ) >.  e.  (/)
2 df-br 4213 . . 3  |-  ( W
(/) ( R. 1 d )  <->  <. W , 
( R. 1 d ) >.  e.  (/) )
31, 2mtbir 291 . 2  |-  -.  W (/) ( R. 1 d )
43intnan 881 1  |-  -.  (
h  e.  ( L L 0 )  /\  W (/) ( R. 1 d ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    /\ wa 359    e. wcel 1725   (/)c0 3628   <.cop 3817   class class class wbr 4212  (class class class)co 6081   R.cnr 8742   0cc0 8990   1c1 8991
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417
This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-v 2958  df-dif 3323  df-nul 3629  df-br 4213
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