File: NUMSEG_CONV.doc

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\DOC NUMSEG_CONV

\TYPE {NUMSEG_CONV : conv}

\SYNOPSIS
Expands a specific interval {m..n} to a set enumeration.

\DESCRIBE
When applied to a term {`m..n`} (the segment of natural numbers between
{m} and {n}) for specific numerals {m} and {n}, the conversion {NUMSEG_CONV}
returns a theorem of the form {|- m..n = {{m, ..., n}}} expressing that segment
as a set enumeration.

\FAILURE
Fails unless applied to a term of the form {m..n} for specific numerals {m} and
{n}.

\EXAMPLE
{
  # NUMSEG_CONV `7..11`;;
  val it : thm = |- 7..11 = {7, 8, 9, 10, 11}

  # NUMSEG_CONV `24..7`;;
  val it : thm = |- 24..7 = {}
}

\SEEALSO
SET_RULE, SET_TAC.

\ENDDOC