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Define : X is_on_the_list L to Y many_digits

Define : X is_on_the_list L to Y many_digits  
|-|erc
From:|-|erc
Subject:Define : X is_on_the_list L to Y many_digits
Date:Fri, 21 Jan 2005 15:46:27 +1000
X is_on_the_list L to Y many_digits

With so many hundred ways mathematics has evolved to address the match
between an element and individual members of a list, we need a way of
addressing relationships between single elements and entire lists. YES WE DO!

X is_on_the_list L to Y many_digits

<=>

L(a,b) is the bth digit of the ath sequence in list L
X(c) is the ath digit of X

Ay,0<=y
=====================================================

e.g.
X=<111111111..>

L=<
<12222222..>
<11222222..>
<11122222..>
>
X is on the list L to 3 digits!



eg. 2
A=<1111111..>

B=<
<00000000..>
<11111111..>
<22222222..>
>

A is on the list B to oo many digits!


We'll also use oo for countable infinity otherwise it becomes tedious to state
otherwise simple assertions.

Herc
--
As our PM for 10 years Mr Howard
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