NUM_GT_CONV : conv

SYNOPSIS

Proves whether one numeral is greater than another.

DESCRIPTION

If n and m are two numerals (e.g. 0, 1, 2, 3,...), then NUM_GT_CONV `n > m` returns:

   |- n > m <=> T       or       |- n > m <=> F

depending on whether the natural number represented by n is greater than the one represented by m.

FAILURE CONDITIONS

NUM_GT_CONV tm fails if tm is not of the form `n > m`, where n and m are numerals.

EXAMPLE

  # NUM_GT_CONV `3 > 2`;;
  val it : thm = |- 3 > 2 <=> T

  # NUM_GT_CONV `77 > 77`;;
  val it : thm = |- 77 > 77 <=> F

USES

Performing basic arithmetic reasoning while producing a proof.

SEE ALSO