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Revision 3568 - (view) (download) (annotate) - [select for diffs]
Modified Tue Apr 9 05:57:54 2002 UTC (19 years, 3 months ago) by xiny
File length: 4161 byte(s)
Diff to previous 3545
Added the definition for setbvd_prop. "set_bvd" and "setbvd_prop" are
both methods for building sets. The former builds set { a(x) | x in s }
from set s where a(x) is a function; the latter builds set
{ x in s | p(x) } from all elements x in s satisfying p(x). Both of
them are very useful. The former is defined by set induction on s; the
latter is defined by member introduction and elimination rules.

Revision 3545 - (view) (download) (annotate) - [selected]
Added Sun Mar 24 07:54:36 2002 UTC (19 years, 4 months ago) by xiny
File length: 2608 byte(s)
Added the definition for "set builder", i.e., the image of a set s
under some function f: { f(x) | x in s }. I consider this as a necessity
for the set theory.

The "set builder" is defined by a "set-induction" rewrite rule. Also
added and proved properties for it.

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