Theorem helloworld 8725

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.)

Assertion

Ref	Expression
helloworld	|- -. (h e. (LL0) /\ W(/)(R.1d))

Proof of Theorem helloworld

Step	Hyp	Ref	Expression
1		noel 2280	. . 3 |- -. <.W, (R.1d)>. e. (/)
2		df-br 2615	. . 3 |- (W(/)(R.1d) <-> <.W, (R.1d)>. e. (/))
3	1, 2	mtbir 192	. 2 |- -. W(/)(R.1d)
4	3	intnan 690	1 |- -. (h e. (LL0) /\ W(/)(R.1d))

Syntax hints:  -. wn 2   /\ wa 223   e. wcel 956  (/)c0 2276  <.cop 2407   class class class wbr 2614  (class class class)co 3954  R.cnr 4973  0cc0 5214  1c1 5215

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 960  ax-gen 961  ax-8 962  ax-10 964  ax-12 966  ax-17 969  ax-4 971  ax-5o 973  ax-6o 976  ax-9o 1121  ax-10o 1138  ax-16 1208  ax-11o 1216  ax-ext 1457

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 979  df-sb 1170  df-clab 1462  df-cleq 1467  df-clel 1470  df-v 1808  df-dif 2045  df-nul 2277  df-br 2615

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