Theorem helloworld 8781

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 2287	. . 3 |- -. <.W, (R.1d)>. e. (/)
2		df-br 2625	. . 3 |- (W(/)(R.1d) <-> <.W, (R.1d)>. e. (/))
3	1, 2	mtbir 192	. 2 |- -. W(/)(R.1d)
4	3	intnan 693	1 |- -. (h e. (LL0) /\ W(/)(R.1d))

Syntax hints:  -. wn 2   /\ wa 223   e. wcel 960  (/)c0 2283  <.cop 2415   class class class wbr 2624  (class class class)co 3969  R.cnr 5005  0cc0 5246  1c1 5247

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 964  ax-gen 965  ax-8 966  ax-10 968  ax-12 970  ax-17 973  ax-4 975  ax-5o 977  ax-6o 980  ax-9o 1125  ax-10o 1142  ax-16 1212  ax-11o 1220  ax-ext 1462

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 983  df-sb 1174  df-clab 1467  df-cleq 1472  df-clel 1475  df-v 1815  df-dif 2052  df-nul 2284  df-br 2625

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