NUM_LE_CONV : conv

SYNOPSIS

Proves whether one numeral is less than or equal to another.

DESCRIPTION

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

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

depending on whether the natural number represented by n is less than or equal to the one represented by m.

FAILURE CONDITIONS

NUM_LE_CONV tm fails if tm is not of the form `n <= m`, where n and m are numerals.

EXAMPLE

  # NUM_LE_CONV `12 <= 19`;;
  val it : thm = |- 12 <= 19 <=> T

  # NUM_LE_CONV `12345 <= 12344`;;
  val it : thm = |- 12345 <= 12344 <=> F

USES

Performing basic arithmetic reasoning while producing a proof.

SEE ALSO