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Theorem helloworld 25472
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 3739 . . 3  |-  -.  <. W ,  ( R. 1 d ) >.  e.  (/)
2 df-br 4393 . . 3  |-  ( W
(/) ( R. 1 d )  <->  <. W , 
( R. 1 d ) >.  e.  (/) )
31, 2mtbir 297 . 2  |-  -.  W (/) ( R. 1 d )
43intnan 913 1  |-  -.  (
h  e.  ( L L 0 )  /\  W (/) ( R. 1 d ) )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    /\ wa 367    e. wcel 1840   (/)c0 3735   <.cop 3975   class class class wbr 4392  (class class class)co 6232   R.cnr 9191   0cc0 9440   1c1 9441
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1637  ax-4 1650  ax-5 1723  ax-6 1769  ax-7 1812  ax-10 1859  ax-11 1864  ax-12 1876  ax-13 2024  ax-ext 2378
This theorem depends on definitions:  df-bi 185  df-an 369  df-tru 1406  df-ex 1632  df-nf 1636  df-sb 1762  df-clab 2386  df-cleq 2392  df-clel 2395  df-nfc 2550  df-v 3058  df-dif 3414  df-nul 3736  df-br 4393
This theorem is referenced by: (None)
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